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Rumus Bangun Datar (Luas dan Keliling) serta Contohnya
2026-03-08 00:40 Diff
https://www.ruangguru.com/blog/rumus-luas-dan-keliling-bangun-datar
Bangun datar ada banyak jenisnya, loh! Masing-masing bangun datar punya rumus untuk menghitung luas dan kelilingnya. Yuk, kita pelajari rumus-rumus bangun datar beserta contohnya di artikel Matematika kelas 7 ini!
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Coba deh kamu ambil buku di dekat kamu! Kalau diperhatiin, buku itu pasti punya empat garis dan juga empat sudut. Kayak gambar di bawah ini!
Ciri-ciri bangun datar
Nah, ternyata bentuk buku itu mirip seperti persegi panjang, ya. Dan persegi panjang merupakan salah satu jenis bangun datar. Eh, tunggu tunggu, kamu masih inget nggak, apa itu bangun datar?
Bangun datar adalah bentuk dasar dari suatu benda atau barang. Macam-macam bangun datar dapat ditemui di sekitar kita, loh. Contohnya, persegi, segitiga, dan lingkaran.
Bangun datar punya ciri khusus, yaitu garis lurus atau lengkung yang bertemu dan membentuk satu bidang. Bentuk-bentuk bangun datar, penting banget dipelajari, karena kita bisa mengaplikasikannya untuk mengukur luas dan keliling suatu bidang.
Memahami Konsep Luas dan Keliling pada Bangun Datar

Ngomongin soal luas, apa yang ada di benak kamu? Pasti ada hubungannya dengan ukuran suatu bidang. Luas adalah ukuran untuk mengetahui besaran permukaan bangun datar. Sementara itu, keliling adalah jumlah panjang dari sisi-sisi bangun datar.
Biar lebih kebayang, coba lihat gambar persegi di bawah ini:
Suatu bangun datar berbentuk persegi berwarna merah, tersusun dari persegi-persegi kecil berwarna putih.
Luas bangun itu, ibarat besaran seluruh permukaan kotak yang diwarnai biru. Untuk menghitungnya, kita bisa menjumlahkan seluruh kotak-kotak berwarna putih, atau:
Sehingga, didapat hasil luas bangun di atas adalah 25.
Lalu, bagaimana dengan keliling?
Keliling bangun itu ibarat menghitung panjang sisi-sisi (pinggiran) si bangunnya aja. Contohnya seperti garis warna biru yang mengelilingi bangun, ya. Kita bisa mencarinya dengan menjumlahkan kotak-kotak kecil yang ada di pinggirannya.
Sehingga, didapat keliling bangun di atas adalah 20.
Gimana, sejauh ini apakah sudah paham dengan konsep luas dan keliling bangun datar? Kalau sudah, kita lanjut ke pembahasan rumus-rumusnya ya. Check these out!
Rumus Luas dan Keliling Bangun Datar
Berikut kumpulan rumus bangun datar berdasarkan jenisnya. Perhatikan ya!
1. Rumus Luas dan Keliling Persegi

Persegi adalah bangun datar yang memiliki empat ruas sisi (s) yang sama panjang. Perhatikan gambar persegi berikut!
Rumus luas persegi
Luas persegi = sisi × sisi = s × s
Rumus keliling persegi
Keliling persegi = s + s + s + s = 4s
Contoh Soal:
Diketahui suatu persegi memiliki sisi sebesar 5 cm. Hitunglah luas dan keliling persegi tersebut!
Pembahasan:
Diketahui: sisi (s) = 5 cm
Ditanya: luas dan keliling persegi …?
Jawab:
Luas persegi = s × s = 5 cm × 5 cm = 25 cm2
Keliling persegi = 4S = 4 × 5 cm = 20 cm
Jadi, diperoleh luas persegi tersebut adalah 25 cm2 dan keliling persegi tersebut adalah 20 cm.
2. Rumus Luas dan Keliling Persegi Panjang

Persegi panjang adalah bangun datar dimana sisi-sisi yang berhadapan, saling sejajar dan punya panjang yang sama.
Rumus luas persegi panjang
Luas persegi panjang = panjang × lebar = p × l
Rumus keliling persegi panjang
Keliling persegi = p + l + p + l = 2p + 2l
Contoh Soal:
Diketahui sebuah persegi panjang memiliki panjang 12 cm dan lebar 5 cm. Berapa luas dan keliling yang dimiliki persegi panjang ini?
Pembahasan:
Diketahui: panjang (p) = 12 cm dan lebar (l) = 5 cm
Ditanya: luas dan keliling persegi panjang …?
Jawab:
Luas persegi panjang = p × l = 12 cm × 5 cm = 60 cm2
Keliling persegi panjang = 2p + 2l = (2 × 12 cm) + (2 × 5 cm) = 24 cm + 10 cm = 34 cm
Jadi, diperoleh luas persegi panjang tersebut adalah 60 cm2 dan keliling persegi panjang tersebut adalah 34 cm.
3. Rumus Luas dan Keliling Belah Ketupat

Selanjutnya, belah ketupat adalah bangun datar yang memiliki empat ruas yang sama panjang. Bedanya dengan persegi, belah ketupat berbentuk lebih pepet pada garis diagonalnya. Bentuk dari belah ketupat mirip dengan diamond atau berlian.
Rumus luas belah ketupat
Keterangan:
D1 = Panjang diagonal 1
D2 = Panjang diagonal 2
Rumus keliling belah ketupat
Keliling belah ketupat = s + s + s + s = 4s
Contoh Soal 1:
Sebidang tanah memiliki bentuk seperti belah ketupat, dengan panjang diagonal-diagonalnya 15 m dan 12 m. Berapakah luas tanah tersebut?
Pembahasan:
Diketahui:
diagonal 1 (D1) = 15 m
diagonal 2 (D2) = 12 m
Ditanya: luas dan keliling belah ketupat …?
Jawab:
Luas belah ketupat = (15 m × 12 m)/2 = 90 m2
Jadi, diperoleh luas bangun belah ketupat tersebut adalah 90 m2.
Contoh Soal 2:
Sebuah belah ketupat ABCD memiliki panjang sisi AB = (4x – 8) cm dan panjang sisi BC = (96 – 4x) cm. Berapa keliling belah ketupat tersebut?
Pembahasan:
Wah, sepintas agak membingungkan ya karena ada variabel x yang belum diketahui nilainya. Oleh karena itu, kita harus mencari nilai x terlebih dahulu, agar panjang sisi-sisinya diketahui. Setelah itu, baru kita bisa mencari kelilingnya.
Nah, bangun belah ketupat punya sifat keempat sisinya sama panjang, jadi:
AB = BC
4x – 8 = 96 – 4x
8x = 104
x = 13
Setelah mengetahui nilai x, berarti panjang sisinya adalah:
AB = 4x – 8
AB = 4(13) – 8
AB = 52 – 8
AB = 44
Sehingga, AB = BC = s = 44 cm. Jadi, keliling belah ketupat tersebut:
Keliling belah ketupat = 4s = 4 × 44 cm = 176 cm
Jadi, keliling belah ketupat tersebut adalah 176 cm.
4. Rumus Luas dan Keliling Layang-Layang

Seperti namanya, bentuk dari bangun datar ini serupa dengan layang-layang atau layangan. Layang-layang adalah bangun datar yang dibentuk oleh dua pasang rusuk sama panjang.
Untuk menghitung luas layang-layang, perlu diketahui dahulu panjang dari dua garis diagonal yang ada di dalamnya.
Rumus luas dan keliling bangun layang-layang sama seperti belah ketupat, yaitu:
Rumus luas layang-layang
Rumus keliling layang-layang
Keliling layang-layang = (2 × sisi panjang) + (2 × sisi pendek) = s + s + s + s = 4s
Contoh Soal 1:
Sebuah layang-layang memiliki ukuran sisi pendek 5 cm dan sisi panjang 8 cm, maka berapakah keliling layang-layang tersebut?
Pembahasan:
Diketahui:
sisi pendek = 5 cm
sisi panjang = 8 cm
Jawab:
Ditanya: keliling layang-layang …?
Keliling layang-layang = jumlah keempat sisi-sisinya = (2 × sisi panjang) + (2 × sisi pendek) = (2 × 8 cm) + (2 × 5 cm) = 16 cm + 10 cm = 26 cm
Jadi, diperoleh keliling layang-layang tersebut adalah 26 cm.
Contoh Soal 2:
Andre memiliki sebuah layang-layang dengan ukuran diagonal 18 cm dan 30 cm. Luas layang-layang tersebut adalah?
Pembahasan:
Diketahui:
diagonal 1 (D1) = 18 cm
diagonal 2 (D2) = 30 cm
Jawab:
Luas layang-layang = (18 cm × 30 cm)/2 = 270 cm²
Jadi, luas layang-layang Andre adalah 270 cm².
5. Rumus Luas dan Keliling Jajar Genjang

Jajar genjang adalah bangun datar dimana sisi-sisi yang berhadapan saling sejajar dan punya panjang yang sama. Jajar genjang memiliki dua sudut lancip dan dua sudut tumpul. Perhatikan gambar di bawah ini!
Rumus jajar genjang adalah panjang ruas A atau alas (a) kali tinggi (t), atau at. Sementara untuk menghitung keliling jajar genjang, rumusnya adalah panjang ruas A (a) ditambah ruas B (b), kemudian hasilnya dikalikan dengan dua.
Rumus luas jajar genjang
Luas jajar genjang = ruas A × tinggi = panjang × alas tinggi = a × t
Rumus keliling jajar genjang
Keliling jajar genjang = 2 (jumlah dari ruas A dan B) = 2 (a + b)
Contoh Soal 1:
Diketahui jajar genjang ABCD memiliki panjang alas 10 cm dan tinggi 4 cm. Berapakah luas jajar genjang tersebut?
Pembahasan:
Luas jajar genjang = panjang alas × tinggi = 10 cm × 4 cm = 40 cm²
Jadi, luas bidang jajar genjang tersebut adalah 40 cm².
Contoh Soal 2:
Diketahui keliling jajar genjang 50 cm. Jika salah satu sisinya memiliki panjang 17 cm. Tentukan panjang sisi lainnya!
Pembahasan:
Kita anggap, panjang ruas A = 17 cm, dan panjang ruas lainnya (ruas B) = x, maka
Keliling jajar genjang = 2 (jumlah dari ruas A dan B) = 2 (a + b)
50 = 2 (17 + x)
50 = 34 + 2x
50 – 34 = 2x
16 = 2x
x = 16/2 = 8
Jadi, diketahui kalau panjang sisi jajar genjang yang lain, atau x = 8 cm.
6. Rumus Luas dan Keliling Trapesium

Trapesium merupakan bangun datar yang memiliki empat sisi, namun dua sisi sejajarnya tidak sama panjang. Terdapat tiga jenis trapesium, yaitu trapesium sama kaki, trapesium siku-siku, dan trapesium sembarang.
Nah, agar kamu lebih mudah membedakannya, perhatikan gambar berikut, ya!
Meskipun jenis trapesium ada banyak, rumus mencari luas dan keliling trapesium itu tetap sama, yakni:
Rumus luas trapesium
Rumus keliling trapesium
Keliling trapesium = Jumlah panjang sisi-sisinya = a + b + c + d
Contoh Soal 1:
Jika sebuah trapesium mempunyai sisi sejajar sepanjang 15 cm dan 25 cm, serta tingginya adalah 8 cm. Berapakah luas trapesium itu?
Pembahasan:
Diketahui:
a = 15 cm
b = 25 cm
t = 8 cm
Ditanya: luas trapesium …?
Jawab:
Sehingga, didapat luas trapesium tersebut adalah 160 cm2.
Contoh Soal 2:
Sebuah trapesium sama kaki memiliki panjang sisi pendek 7 cm, sisi miring 5 cm, dan sisi panjang 13 cm. Berapakah keliling dari trapesium tersebut?
Pembahasan:
Nah, karena trapesium tersebut sama kaki, maka panjang kedua sisi miringnya sama. Sehingga,
Keliling trapesium = a + b + c + d = 7 cm + 5 cm + 5 cm + 13 cm = 30 cm
Jadi, diperoleh keliling trapesium sama kaki tersebut adalah 30 cm.
7. Rumus Luas dan Keliling Segitiga

Segitiga adalah bangun datar yang tersusun dari tiga rusuk dan memiliki tiga sudut. Ada empat jenis segitiga, yaitu segitiga sama sisi, segitiga sama kaki, segitiga siku-siku, dan segitiga sembarang. Lalu, apa sih bedanya? Coba perhatikan gambar berikut!
Rumus luas segitiga
Keterangan:
a = Panjang alas
t = Tinggi
Rumus keliling segitiga
Keliling segitiga = Jumlah panjang sisi-sisinya = a + b + c
Rumus di atas juga berlaku untuk mencari luas dan keliling segitiga sembarang juga, ya. Untuk menentukan panjang alas dan tingginya, kamu bisa perhatikan gambar di bawah ini!
Contoh Soal:
Sebuah taman berbentuk seperti segitiga dengan dua sisi yang tegak lurus. Panjang alasnya 4 meter, tingginya 3 meter, dan sisi miringnya 5 meter. Hitunglah luas dan keliling taman tersebut!
Pembahasan:
Diketahui:
alas (a) = 4 m
tinggi (t) = 3 m
sisi miring (b) = 5 m
Ditanya: luas dan keliling taman …?
Jawab:
Luas taman = luas segitiga = (4 m × 3 m)/2 = 6 m2
Keliling taman = keliling segitiga = a + b + t= 4 m + 5 m + 3 m = 12 m
Jadi, luas taman tersebut adalah 6 m2 dan keliling taman tersebut adalah 12 m.
8. Rumus Luas dan Keliling Lingkaran

Bangun datar yang terakhir adalah lingkaran. Lingkaran merupakan kumpulan titik-titik pada garis bidang datar yang semuanya berjarak sama dari titik pusat.
Untuk menghitung luas dan keliling lingkaran, kamu perlu paham dulu nih tentang beberapa istilah yang sering digunakan, yakni:
Adanya satu konstanta khusus yang disebut dengan (dibaca phi), yang memiliki nilai 22/7, atau dibulatkan menjadi 3,14.
Jari-jari lingkaran, merupakan ruas garis yang menghubungkan titik pusat lingkaran dengan titik pada keliling lingkaran r = (πd).
Diameter lingkaran, ruas garis yang menghubungkan dua titik pada keliling lingkaran dan melalui titik pusat lingkaran d = (2r)
Rumus luas lingkaran
Luas lingkaran = πr2
Rumus keliling lingkaran
Keliling lingkaran = ½ · π · d atau 2 · π · r
Contoh Soal:
Sebuah lingkaran memiliki jari-jari 14 cm. Hitunglah keliling dan luas lingkaran tersebut. Gunakan = 22/7.
Pembahasan:
Diketahui: = 22/7 dan r = 14 cm
Ditanya: luas dan keliling lingkaran …?
Jawab:
Jadi, luas lingkaran tersebut adalah 616 cm² dan kelilingnya adalah 88 cm.
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Gimana nih, sejauh ini apakah materinya mudah dipahami? Jangan lupa untuk rajin berlatih soal agar pemahaman kamu meningkat, ya! Kalau kamu masih ada pertanyaan lebih lanjut mengenai materi rumus bangun datar, yuk tanyakan langsung ke ahlinya di Ruangguru Privat Matematika!
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Referensi:
https://www.detik.com/edu/detikpedia/d-6867300/16-rumus-bangun-datar-luas-dan-keliling-dengan-contoh-soalnya
https://kumparan.com/kabar-harian/daftar-rumus-bangun-datar-lengkap-dengan-contoh-soalnya-untuk-mengajari-si-kecil-225mNh1IZWD
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              <h1 class="content-title">
                Rumus Bangun Datar (Luas dan Keliling) serta Contohnya | Matematika Kelas 7              </h1>
              <div class="content-meta">
                <p class="content-author"><a href="https://www.ruangguru.com/blog/author/hani-ammariah" class="">Hani Ammariah</a> </p>
                <p class="content-info"><span>January 7, 2025 • </span> <span>9 minutes read</span></p>
                <br />
              </div>
              <div class="content-body">
                <p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/c539a3d4-db07-40db-81f2-46d8b66c2fbb.png" alt="rumus luas dan keliling bangun datar" /></p>
<blockquote>
<p style="text-align: center;"><em><span style="font-weight: 400;">Bangun datar ada banyak jenisnya, loh! Masing-masing bangun datar punya rumus untuk menghitung luas dan kelilingnya. Yuk, kita pelajari rumus-rumus bangun datar beserta contohnya di </span><strong><a href="https://www.ruangguru.com/blog/c/matematika/matematika-smp-kelas-7">artikel Matematika kelas 7</a></strong><span style="font-weight: 400;"> ini!</span></em></p>
</blockquote>
<p style="text-align: center;">&#8212;</p>
<p>&nbsp;</p>
<p style="text-align: justify;"><span style="font-weight: 400;">Coba deh kamu ambil buku di dekat kamu! Kalau diperhatiin, buku itu pasti punya empat garis dan juga empat sudut. Kayak gambar di bawah ini! </span></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/acc3c7ec-4dd2-4d0e-98ac-95c89be58d2b.png" alt="contoh bangun datar" /></p>
<p style="text-align: center;">Ciri-ciri bangun datar</p>
<p>&nbsp;</p>
<p style="text-align: justify;"><span style="font-weight: 400;">Nah, ternyata bentuk buku itu mirip seperti persegi panjang, ya. Dan persegi panjang merupakan salah satu jenis bangun datar. Eh, tunggu tunggu, kamu masih inget nggak, apa itu bangun datar?</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Bangun datar adalah bentuk dasar dari suatu benda atau barang. Macam-macam bangun datar dapat ditemui di sekitar kita, loh. Contohnya, persegi, segitiga, dan lingkaran.</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Bangun datar punya ciri khusus, yaitu garis lurus atau lengkung yang bertemu dan membentuk satu bidang. Bentuk-bentuk bangun datar, penting banget dipelajari, karena kita bisa mengaplikasikannya untuk mengukur luas dan keliling suatu bidang. </span></p>
<p>&nbsp;</p>
<h2 style="text-align: justify;"><span style="font-size: 18pt;"><b>Memahami Konsep Luas dan Keliling pada Bangun Datar</b></span></h2>
<p style="text-align: justify;"><span style="font-weight: 400;">Ngomongin soal luas, apa yang ada di benak kamu? Pasti ada hubungannya dengan ukuran suatu bidang. Luas adalah ukuran untuk mengetahui besaran permukaan bangun datar. Sementara itu, keliling adalah jumlah panjang dari sisi-sisi bangun datar.</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Biar lebih kebayang, coba lihat gambar persegi di bawah ini:</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Suatu bangun datar berbentuk persegi berwarna merah, tersusun dari persegi-persegi kecil berwarna putih.</span></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/9367d2b0-e3fa-40ef-887d-b93ef7007471.png" alt="konsep luas bangun datar" /></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><span style="font-weight: 400;">Luas bangun itu, ibarat besaran seluruh permukaan kotak yang diwarnai biru. Untuk menghitungnya, kita bisa menjumlahkan seluruh kotak-kotak berwarna putih, atau:</span></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/c9682f34-168f-4af6-8b5f-55fd875257c7.png" alt="konsep luas bangun datar" /></p>
<p>&nbsp;</p>
<p><span style="font-weight: 400;">Sehingga, didapat hasil luas bangun di atas adalah 25.</span></p>
<p><span style="font-weight: 400;">Lalu, bagaimana dengan keliling?</span></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/1cab534b-95b6-41f5-813b-6c54a2e6f060.png" alt="konsep keliling bangun datar" /></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><span style="font-weight: 400;">Keliling bangun itu ibarat menghitung panjang sisi-sisi (pinggiran) si bangunnya aja. Contohnya seperti garis warna biru yang mengelilingi bangun, ya. Kita bisa mencarinya dengan menjumlahkan kotak-kotak kecil yang ada di pinggirannya. </span></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/cfd81dcf-180d-4b61-a5aa-f79cfa35da26.png" alt="konsep keliling bangun datar" /></p>
<p>&nbsp;</p>
<p><span style="font-weight: 400;">Sehingga, didapat keliling bangun di atas adalah 20.</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Gimana, sejauh ini apakah sudah paham dengan konsep luas dan keliling bangun datar? Kalau sudah, kita lanjut ke pembahasan rumus-rumusnya ya. </span><em><span style="font-weight: 400;">Check these out</span></em><span style="font-weight: 400;">!</span></p>
<p><strong>Baca Juga: <a href="https://www.ruangguru.com/blog/pengertian-dan-contoh-bilangan-bulat">Pengertian dan Contoh Bilangan Bulat</a></strong></p>
<p>&nbsp;</p>
<p><strong><span style="font-size: 18pt;">Rumus Luas dan Keliling Bangun Datar</span></strong></p>
<p><span style="font-weight: 400;">Berikut kumpulan rumus bangun datar berdasarkan jenisnya. Perhatikan ya!</span></p>
<p>&nbsp;</p>
<h2><span style="font-size: 18pt;"><b>1. Rumus Luas dan Keliling Persegi</b></span></h2>
<p style="text-align: justify;"><span style="font-weight: 400;">Persegi adalah bangun datar yang memiliki </span><strong>empat ruas sisi (s) yang sama panjang</strong><span style="font-weight: 400;"><strong>.</strong> Perhatikan gambar persegi berikut!</span></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/7fcc4f4d-3c25-4e01-8686-93a9091df291.png" alt="gambar persegi" /></p>
<ul>
<li aria-level="1">
<h3><span style="font-size: 14pt;"><b>Rumus luas persegi</b></span></h3>
</li>
</ul>
<p style="text-align: center;"><span style="font-size: 14pt;"><span style="font-weight: 400;">Luas persegi = sisi ×</span><span style="font-weight: 400;"> sisi = </span><span style="font-weight: 400;">s × </span><span style="font-weight: 400;">s</span></span><b></b></p>
<p>&nbsp;</p>
<ul>
<li aria-level="1">
<h3><span style="font-size: 14pt;"><b>Rumus keliling persegi </b></span></h3>
</li>
</ul>
<p style="text-align: center;"><span style="font-size: 14pt;"><span style="font-weight: 400;">Keliling persegi = </span><span style="font-weight: 400;">s + s + s + s</span><span style="font-weight: 400;"> = </span><span style="font-weight: 400;">4s</span></span></p>
<p>&nbsp;</p>
<p><strong>Contoh Soal:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Diketahui suatu persegi memiliki sisi sebesar 5 cm. Hitunglah luas dan keliling persegi tersebut!</span></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><strong>Pembahasan:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Diketahui: sisi (s) = 5 cm</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Ditanya: luas dan keliling persegi &#8230;?</span></p>
<p>&nbsp;</p>
<p><strong>Jawab:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Luas persegi =  s × s</span><span style="font-weight: 400;"> = 5 cm × </span><span style="font-weight: 400;"> 5 cm = 25 cm</span><sup><span style="font-weight: 400;">2</span></sup></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Keliling persegi = </span><span style="font-weight: 400;">4S</span><span style="font-weight: 400;"> = 4 × </span><span style="font-weight: 400;">5 cm = 20 cm</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Jadi, diperoleh luas persegi tersebut adalah 25 cm</span><sup><span style="font-weight: 400;">2</span></sup><span style="font-weight: 400;"> dan keliling persegi tersebut adalah 20 cm.</span></p>
<p>&nbsp;</p>
<h2><span style="font-size: 18pt;"><b>2. Rumus Luas dan Keliling Persegi Panjang</b></span></h2>
<p style="text-align: justify;"><span style="font-weight: 400;">Persegi panjang adalah bangun datar dimana </span><strong>sisi-sisi yang berhadapan, saling sejajar dan punya panjang yang sama</strong><span style="font-weight: 400;">.</span></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/87a4a4c2-8e10-4838-bfd5-89031a47b615.png" alt="gambar persegi panjang" /></p>
<ul>
<li aria-level="1">
<h3 style="text-align: justify;"><span style="font-size: 14pt;"><b>Rumus luas persegi panjang</b></span></h3>
</li>
</ul>
<p style="text-align: center;"><span style="font-size: 14pt;"><span style="font-weight: 400;">Luas persegi panjang = panjang ×</span><span style="font-weight: 400;"> lebar = </span><span style="font-weight: 400;">p × </span><span style="font-weight: 400;">l</span></span><b></b></p>
<p>&nbsp;</p>
<ul style="text-align: justify;">
<li aria-level="1">
<h3><span style="font-size: 14pt;"><b>Rumus keliling persegi panjang</b></span></h3>
</li>
</ul>
<p style="text-align: center;"><span style="font-size: 14pt;"><span style="font-weight: 400;">Keliling persegi = </span><span style="font-weight: 400;">p + l + p + l</span><span style="font-weight: 400;"> = </span><span style="font-weight: 400;">2p + 2l</span></span></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><strong>Contoh Soal:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Diketahui sebuah persegi panjang memiliki panjang 12 cm dan lebar 5 cm. Berapa luas dan keliling yang dimiliki persegi panjang ini?</span></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><strong>Pembahasan:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Diketahui: panjang (p) = 12 cm dan lebar (l) = 5 cm</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Ditanya: luas dan keliling persegi panjang &#8230;?</span></p>
<p>&nbsp;</p>
<p><strong>Jawab:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Luas persegi panjang = </span><span style="font-weight: 400;">p × </span><span style="font-weight: 400;">l</span><span style="font-weight: 400;"> = 12 cm × </span><span style="font-weight: 400;">5 cm = 60 cm</span><sup><span style="font-weight: 400;">2</span></sup></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Keliling persegi panjang = </span><span style="font-weight: 400;">2p + 2l</span><span style="font-weight: 400;"> = (2 × </span><span style="font-weight: 400;"> 12 cm) + (2 ×</span><span style="font-weight: 400;"> 5 cm) = 24 cm + 10 cm = 34 cm</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Jadi, diperoleh luas persegi panjang tersebut adalah 60 cm</span><sup><span style="font-weight: 400;">2</span></sup><span style="font-weight: 400;"> dan keliling persegi panjang tersebut adalah 34 cm.</span></p>
<p>&nbsp;</p>
<h2 style="text-align: justify;"><span style="font-size: 18pt;"><b>3. Rumus Luas dan Keliling Belah Ketupat</b></span></h2>
<p style="text-align: justify;"><span style="font-weight: 400;">Selanjutnya, belah ketupat adalah bangun datar yang <strong>memiliki empat ruas yang sama panjang</strong>. Bedanya dengan persegi, belah ketupat <strong>berbentuk lebih pepet pada garis diagonalnya</strong>. Bentuk dari belah ketupat mirip dengan <em>diamond</em> atau berlian.</span></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/658ac15b-2e51-43e1-9653-f89490416622.png" alt="gambar belah ketupat" /></p>
<ul>
<li aria-level="1">
<h3 style="text-align: justify;"><span style="font-size: 14pt;"><b>Rumus luas belah ketupat</b></span></h3>
</li>
</ul>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/888843a5-c108-49d3-adde-b07542e1f9d6.png" alt="rumus luas belah ketupat" /></p>
<p>Keterangan:</p>
<p>D<sub>1</sub> = Panjang diagonal 1</p>
<p>D<sub>2</sub> = Panjang diagonal 2</p>
<p>&nbsp;</p>
<ul style="text-align: justify;">
<li aria-level="1">
<h3><span style="font-size: 14pt;"><b>Rumus keliling belah ketupat</b></span></h3>
</li>
</ul>
<p style="text-align: center;"><span style="font-size: 14pt;"><span style="font-weight: 400;">Keliling belah ketupat = </span><span style="font-weight: 400;">s + s + s + s</span><span style="font-weight: 400;"> = </span><span style="font-weight: 400;">4s</span></span></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><strong>Contoh Soal 1:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Sebidang tanah memiliki bentuk seperti belah ketupat, dengan panjang diagonal-diagonalnya 15 m dan 12 m. Berapakah luas tanah tersebut?</span></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><strong>Pembahasan:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Diketahui: </span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">diagonal 1 (</span><span style="font-weight: 400;">D1</span><span style="font-weight: 400;">) = 15 m</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">diagonal 2 (</span><span style="font-weight: 400;">D2</span><span style="font-weight: 400;">) = 12 m</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Ditanya: luas dan keliling belah ketupat &#8230;?</span></p>
<p>&nbsp;</p>
<p><strong>Jawab:</strong></p>
<p><img decoding="async" class="size-medium alignleft" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/888843a5-c108-49d3-adde-b07542e1f9d6.png" alt="rumus luas belah ketupat" /></p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p style="text-align: justify;"><span style="font-weight: 400;">Luas belah ketupat </span><span style="font-weight: 400;">= (</span><span style="font-weight: 400;">15 m ×</span><span style="font-weight: 400;"> 12 m)/2</span> <span style="font-weight: 400;">= 90 m</span><sup><span style="font-weight: 400;">2</span></sup></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Jadi, diperoleh luas bangun belah ketupat tersebut adalah 90 m</span><sup><span style="font-weight: 400;">2</span></sup><span style="font-weight: 400;">.</span></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><strong>Contoh Soal 2:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Sebuah belah ketupat ABCD memiliki panjang sisi AB = (4x &#8211; 8) cm dan panjang sisi BC = (96 &#8211; 4x) cm. Berapa keliling belah ketupat tersebut?</span></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><strong>Pembahasan:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Wah, sepintas agak membingungkan ya karena ada variabel x yang belum diketahui nilainya. Oleh karena itu, kita harus mencari nilai x terlebih dahulu, agar panjang sisi-sisinya diketahui. Setelah itu, baru kita bisa mencari kelilingnya.</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Nah, bangun belah ketupat punya sifat keempat sisinya sama panjang, jadi:</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">AB = BC</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">4x &#8211; 8 = 96 &#8211; 4x</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">8x = 104</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">x = 13</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Setelah mengetahui nilai x, berarti panjang sisinya adalah:</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">AB = 4x – 8</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">AB = 4(13) – 8</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">AB = 52 – 8</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">AB = 44</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Sehingga, AB = BC = s =  44 cm. Jadi, keliling belah ketupat tersebut:</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Keliling belah ketupat = </span><span style="font-weight: 400;">4s</span><span style="font-weight: 400;"> = 4 ×</span><span style="font-weight: 400;"> 44 cm = 176 cm</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Jadi, keliling belah ketupat tersebut adalah 176 cm.</span></p>
<p style="text-align: justify;"><strong>Baca Juga: <a href="https://www.ruangguru.com/blog/penyelesaian-bentuk-bentuk-aljabar">Cara Menyelesaikan Bentuk-Bentuk Aljabar</a></strong></p>
<p>&nbsp;</p>
<h2 style="text-align: justify;"><span style="font-size: 18pt;"><b>4. Rumus Luas dan Keliling Layang-Layang</b></span></h2>
<p style="text-align: justify;"><span style="font-weight: 400;">Seperti namanya, bentuk dari bangun datar ini <strong>serupa dengan layang-layang</strong> atau layangan. Layang-layang adalah bangun datar yang <strong>dibentuk oleh dua pasang rusuk sama panjang</strong>. </span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Untuk menghitung luas layang-layang, perlu diketahui dahulu panjang dari dua garis diagonal yang ada di dalamnya.</span></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/bfd6c0a8-885f-4a89-b4be-0dd9a776f5a3.png" alt="gambar layang-layang" /></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><span style="font-weight: 400;">Rumus luas dan keliling bangun layang-layang sama seperti belah ketupat, yaitu:</span><b></b></p>
<p>&nbsp;</p>
<ul style="text-align: justify;">
<li aria-level="1">
<h3><span style="font-size: 14pt;"><b>Rumus luas layang-layang</b></span></h3>
</li>
</ul>
<p style="text-align: justify;"><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/64b4a45b-6a6e-4dfd-9d90-04090dc72446.png" alt="rumus luas layang-layang" /></p>
<ul style="text-align: justify;">
<li aria-level="1">
<h3><span style="font-size: 14pt;"><b>Rumus keliling layang-layang</b></span></h3>
</li>
</ul>
<p style="text-align: center;"><span style="font-size: 14pt;"><span style="font-weight: 400;">Keliling layang-layang = (2 × sisi panjang) + (2 × sisi pendek) = </span><span style="font-weight: 400;">s + s + s + s</span><span style="font-weight: 400;"> = </span><span style="font-weight: 400;">4s</span></span></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><strong>Contoh Soal 1:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Sebuah layang-layang memiliki ukuran sisi pendek 5 cm dan sisi panjang 8 cm, maka berapakah keliling layang-layang tersebut?</span></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><strong>Pembahasan:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Diketahui:</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">sisi pendek = 5 cm</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">sisi panjang = 8 cm</span></p>
<p>&nbsp;</p>
<p><strong>Jawab:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Ditanya: keliling layang-layang &#8230;?</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Keliling layang-layang = jumlah keempat sisi-sisinya = (2 ×</span><span style="font-weight: 400;"> sisi panjang) + (2 ×</span><span style="font-weight: 400;"> sisi pendek) = (2 ×</span><span style="font-weight: 400;"> 8 cm) + (2 ×</span><span style="font-weight: 400;"> 5 cm) = 16 cm + 10 cm = 26 cm</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Jadi, diperoleh keliling layang-layang tersebut adalah 26 cm.</span></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><b>Contoh Soal 2:</b></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Andre memiliki sebuah layang-layang dengan ukuran diagonal 18 cm dan 30 cm. Luas layang-layang tersebut adalah?</span></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><strong>Pembahasan:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Diketahui:</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">diagonal 1 (</span><span style="font-weight: 400;">D1</span><span style="font-weight: 400;">) = 18 cm</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">diagonal 2 (</span><span style="font-weight: 400;">D2</span><span style="font-weight: 400;">) = 30 cm</span></p>
<p>&nbsp;</p>
<p><strong>Jawab:</strong></p>
<p><img decoding="async" class="size-medium alignleft" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/64b4a45b-6a6e-4dfd-9d90-04090dc72446.png" alt="rumus luas layang-layang" /></p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p style="text-align: justify;"><span style="font-weight: 400;">Luas layang-layang = (</span><span style="font-weight: 400;">18 cm ×</span><span style="font-weight: 400;"> 30 cm)/</span><span style="font-weight: 400;">2 </span><span style="font-weight: 400;">=</span><span style="font-weight: 400;"> 270 cm²</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Jadi, luas layang-layang Andre adalah 270 cm².</span></p>
<p>&nbsp;</p>
<h2 style="text-align: justify;"><span style="font-size: 18pt;"><b>5. Rumus Luas dan Keliling Jajar Genjang</b></span></h2>
<p style="text-align: justify;"><span style="font-weight: 400;">Jajar genjang adalah bangun datar dimana </span><strong>sisi-sisi yang berhadapan saling sejajar dan punya panjang yang sama</strong><span style="font-weight: 400;">.</span> <span style="font-weight: 400;">Jajar genjang memiliki </span><strong><a href="https://www.ruangguru.com/blog/mengenal-macam-macam-sudut">dua sudut lancip dan dua sudut tumpul</a></strong><span style="font-weight: 400;">. Perhatikan gambar di bawah ini!</span></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/76eef19a-356b-45ad-83ce-0eeb6032c769.png" alt="gambar jajar genjang" /></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Rumus jajar genjang adalah panjang ruas A atau alas (</span><span style="font-weight: 400;">a</span><span style="font-weight: 400;">) kali tinggi (</span><span style="font-weight: 400;">t</span><span style="font-weight: 400;">), atau </span><span style="font-weight: 400;">a</span><span style="font-weight: 400;">t</span><span style="font-weight: 400;">. Sementara untuk menghitung keliling jajar genjang, rumusnya adalah panjang ruas A (</span><span style="font-weight: 400;">a</span><span style="font-weight: 400;">) ditambah ruas B (b), kemudian hasilnya dikalikan dengan dua.</span></p>
<p>&nbsp;</p>
<ul style="text-align: justify;">
<li aria-level="1">
<h3><span style="font-size: 14pt;"><b>Rumus luas jajar genjang</b></span></h3>
</li>
</ul>
<p style="text-align: center;"><span style="font-size: 14pt;"><span style="font-weight: 400;">Luas jajar genjang = ruas A ×</span><span style="font-weight: 400;"> tinggi = panjang × alas </span><span style="font-weight: 400;"> tinggi = </span><span style="font-weight: 400;">a × </span><span style="font-weight: 400;">t</span></span><b></b></p>
<p>&nbsp;</p>
<ul style="text-align: justify;">
<li aria-level="1">
<h3><span style="font-size: 14pt;"><b>Rumus keliling jajar genjang</b></span></h3>
</li>
</ul>
<p style="text-align: center;"><span style="font-size: 14pt;"><span style="font-weight: 400;">Keliling jajar genjang = 2 (jumlah dari ruas A dan B) = 2 </span><span style="font-weight: 400;">(a + b)</span></span></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><strong>Contoh Soal 1:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Diketahui jajar genjang ABCD memiliki panjang alas 10 cm dan tinggi 4 cm. Berapakah luas jajar genjang tersebut?</span></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><strong>Pembahasan:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Luas jajar genjang = panjang alas <span style="font-size: 14pt;">×</span> </span><span style="font-weight: 400;">tinggi = 10 cm <span style="font-size: 14pt;">×</span></span><span style="font-weight: 400;"> 4 cm = 40 cm²</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Jadi, luas bidang jajar genjang tersebut adalah 40 cm².</span></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><b>Contoh Soal 2:</b></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Diketahui keliling jajar genjang 50 cm. Jika salah satu sisinya memiliki panjang 17 cm. Tentukan panjang sisi lainnya!</span></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><b>Pembahasan:</b></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Kita anggap, panjang ruas A = 17 cm, dan panjang ruas lainnya (ruas B) = x, maka</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Keliling jajar genjang = 2 (jumlah dari ruas A dan B) = 2 </span><span style="font-weight: 400;">(a + b)</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">50 = 2 </span><span style="font-weight: 400;">(17 + x)</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">50 = 34 + 2x</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">50 &#8211; 34 = 2x</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">16 = 2x</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">x = 16/2 = 8</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Jadi, diketahui kalau panjang sisi jajar genjang yang lain, atau x = 8 cm.</span></p>
<p>&nbsp;</p>
<h2 style="text-align: justify;"><span style="font-size: 18pt;"><b>6. Rumus Luas dan Keliling Trapesium</b></span></h2>
<p style="text-align: justify;"><span style="font-weight: 400;">Trapesium merupakan bangun datar yang <strong>memiliki empat sisi, namun dua sisi sejajarnya tidak sama panjang</strong>. Terdapat tiga jenis trapesium, yaitu trapesium sama kaki, trapesium siku-siku, dan trapesium sembarang. </span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Nah, agar kamu lebih mudah membedakannya, perhatikan gambar berikut, ya!</span></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/807703a0-70ef-4d24-ba01-dd2f9cca4a63.png" alt="jenis-jenis trapesium" /></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Meskipun jenis trapesium ada banyak, rumus mencari luas dan keliling trapesium itu tetap sama, yakni:</span><b></b></p>
<p>&nbsp;</p>
<ul style="text-align: justify;">
<li aria-level="1">
<h3><span style="font-size: 14pt;"><b>Rumus luas trapesium</b></span></h3>
</li>
</ul>
<p style="text-align: center;"><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/0f37135a-39e5-44e4-8e1e-2cd6c3edf0c6.png" alt="rumus luas trapesium" /></p>
<p>&nbsp;</p>
<ul style="text-align: justify;">
<li aria-level="1">
<h3><b>Rumus keliling trapesium</b></h3>
</li>
</ul>
<p style="text-align: center;"><span style="font-size: 14pt;"><span style="font-weight: 400;">Keliling trapesium = Jumlah panjang sisi-sisinya = </span><span style="font-weight: 400;">a + b + c + d</span></span></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><strong>Contoh Soal 1:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Jika sebuah trapesium mempunyai sisi sejajar sepanjang 15 cm dan 25 cm, serta tingginya adalah 8 cm. Berapakah luas trapesium itu?</span></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><strong>Pembahasan:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Diketahui:</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">a</span><span style="font-weight: 400;"> = 15 cm</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">b</span><span style="font-weight: 400;"> = 25 cm</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">t</span><span style="font-weight: 400;"> = 8 cm</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Ditanya: luas trapesium …?</span></p>
<p>&nbsp;</p>
<p><strong>Jawab:</strong></p>
<p style="text-align: justify;"><img fetchpriority="high" decoding="async" class="size-medium alignleft" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/a54fbe1d-8ac7-47b5-842c-600cb8841fc2.png" alt="contoh soal luas trapesium" width="694" height="81" /></p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p style="text-align: justify;"><span style="font-weight: 400;">Sehingga, didapat luas trapesium tersebut adalah 160 cm</span><sup><span style="font-weight: 400;">2</span></sup><span style="font-weight: 400;">.</span></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><strong>Contoh Soal 2:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Sebuah trapesium sama kaki memiliki panjang sisi pendek 7 cm, sisi miring 5 cm, dan sisi panjang 13 cm. Berapakah keliling dari trapesium tersebut?</span></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><b>Pembahasan:</b></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Nah, karena trapesium tersebut sama kaki, maka panjang kedua sisi miringnya sama. Sehingga,</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Keliling trapesium = </span><span style="font-weight: 400;">a + b + c + d</span><span style="font-weight: 400;"> = 7 cm + 5 cm + 5 cm + 13 cm = 30 cm</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Jadi, diperoleh keliling trapesium sama kaki tersebut adalah 30 cm.</span></p>
<p style="text-align: justify;"><strong>Baca Juga: <a href="https://www.ruangguru.com/blog/sifat-sifat-bangun-segi-empat">Macam-Macam, Sifat &amp; Rumus Bangun Segi Empat</a></strong></p>
<p>&nbsp;</p>
<h2 style="text-align: justify;"><span style="font-size: 18pt;"><b>7.  Rumus Luas dan Keliling Segitiga</b></span></h2>
<p style="text-align: justify;"><span style="font-weight: 400;">Segitiga adalah bangun datar yang<strong> tersusun dari tiga rusuk dan memiliki tiga sudut</strong>. Ada <strong>empat </strong></span><strong><a href="https://www.ruangguru.com/blog/mengenal-berbagai-macam-jenis-segitiga">jenis segitiga</a></strong><span style="font-weight: 400;">, yaitu segitiga sama sisi, segitiga sama kaki, segitiga siku-siku, dan segitiga sembarang. Lalu, apa sih bedanya? Coba perhatikan gambar berikut!</span></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/784e829e-601e-437c-b70c-96387d0e5014.png" alt="gambar jenis-jenis segitiga" /></p>
<p>&nbsp;</p>
<ul>
<li aria-level="1">
<h3><span style="font-size: 14pt;"><b>Rumus luas segitiga</b></span></h3>
</li>
</ul>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/ceb0f2a9-7480-42ee-a1be-725efe0a016d.png" alt="rumus luas segitiga" /></p>
<p>Keterangan:</p>
<p>a = Panjang alas</p>
<p>t = Tinggi</p>
<p>&nbsp;</p>
<ul>
<li aria-level="1">
<h3><span style="font-size: 14pt;"><b>Rumus keliling segitiga</b></span></h3>
</li>
</ul>
<p style="text-align: center;"><b></b><span style="font-size: 14pt;"><span style="font-weight: 400;">Keliling segitiga = Jumlah panjang sisi-sisinya = </span><span style="font-weight: 400;">a + b + c</span></span></p>
<p>&nbsp;</p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/aceae4ac-55a5-4923-9a26-bfd27fd8ccd5.png" alt="gambar alas dan tinggi segitiga" /></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><span style="font-weight: 400;">Rumus di atas juga berlaku untuk mencari luas dan keliling segitiga sembarang juga, ya. Untuk menentukan panjang alas dan tingginya, kamu bisa perhatikan gambar di bawah ini!</span></p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/e49c011d-2451-403c-ad31-d06eeaf3a0db.png" alt="gambar segitiga sembarang" /></p>
<p style="text-align: justify;"><strong>Contoh Soal:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Sebuah taman berbentuk seperti segitiga dengan dua sisi yang tegak lurus. Panjang alasnya 4 meter, tingginya 3 meter, dan sisi miringnya 5 meter. Hitunglah luas dan keliling taman tersebut!</span></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><strong>Pembahasan:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Diketahui:</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">alas </span><span style="font-weight: 400;">(a)</span><span style="font-weight: 400;"> = 4 m</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">tinggi </span><span style="font-weight: 400;">(t)</span><span style="font-weight: 400;"> = 3 m</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">sisi miring </span><span style="font-weight: 400;">(b)</span><span style="font-weight: 400;"> = 5 m</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Ditanya: luas dan keliling taman …?</span></p>
<p>&nbsp;</p>
<p><strong>Jawab:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Luas taman = luas segitiga = (</span><span style="font-weight: 400;">4 m ×</span><span style="font-weight: 400;"> 3 m)/</span><span style="font-weight: 400;">2</span><span style="font-weight: 400;"> = 6 m</span><sup><span style="font-weight: 400;">2</span></sup></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Keliling taman = keliling segitiga = </span><span style="font-weight: 400;">a + b + t=</span><span style="font-weight: 400;"> 4 m + 5 m + 3 m = 12 m</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Jadi, luas taman tersebut adalah 6 m</span><sup><span style="font-weight: 400;">2 </span></sup><span style="font-weight: 400;">dan keliling taman tersebut adalah 12 m.</span></p>
<p>&nbsp;</p>
<h2 style="text-align: justify;"><span style="font-size: 18pt;"><b>8. Rumus Luas dan Keliling Lingkaran</b></span></h2>
<p style="text-align: justify;"><span style="font-weight: 400;">Bangun datar yang terakhir adalah lingkaran. Lingkaran merupakan </span><strong>kumpulan titik-titik pada garis bidang datar yang semuanya berjarak sama dari titik pusat</strong><span style="font-weight: 400;">.</span><span style="font-weight: 400;"> </span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Untuk menghitung luas dan keliling lingkaran, kamu perlu paham dulu nih tentang beberapa istilah yang sering digunakan, yakni:</span></p>
<ul>
<li style="font-weight: 400; text-align: justify;" aria-level="1"><span style="font-weight: 400;">Adanya satu konstanta khusus yang disebut dengan </span><span style="font-weight: 400;"> (dibaca <em>phi</em>), yang memiliki nilai 22/7, atau dibulatkan menjadi 3,14. </span></li>
<li style="font-weight: 400; text-align: justify;" aria-level="1"><span style="font-weight: 400;">Jari-jari lingkaran, merupakan </span><span style="font-weight: 400;">ruas garis yang menghubungkan titik pusat lingkaran dengan titik pada keliling lingkaran </span><span style="font-weight: 400;">r = (</span><span style="font-weight: 400;">π</span><span style="font-weight: 400;">d)</span><span style="font-weight: 400;">.</span></li>
<li style="font-weight: 400; text-align: justify;" aria-level="1"><span style="font-weight: 400;">Diameter lingkaran, </span><span style="font-weight: 400;">ruas garis yang menghubungkan dua titik pada keliling lingkaran dan melalui titik pusat lingkaran</span> <span style="font-weight: 400;">d = (2</span><span style="font-weight: 400;">r)</span></li>
</ul>
<p>&nbsp;</p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/03574bda-ff70-4833-95b9-b3410d17e900.png" alt="gambar lingkaran" /></p>
<ul>
<li aria-level="1">
<h3 style="text-align: justify;"><span style="font-size: 14pt;"><b>Rumus luas lingkaran</b></span></h3>
</li>
</ul>
<p style="text-align: center;"><span style="font-size: 14pt;"><span style="font-weight: 400;">Luas lingkaran = π</span><span style="font-weight: 400;">r</span><sup><span style="font-weight: 400;">2</span></sup></span></p>
<p>&nbsp;</p>
<ul style="text-align: justify;">
<li aria-level="1">
<h3><span style="font-size: 14pt;"><b>Rumus keliling lingkaran</b></span></h3>
</li>
</ul>
<p style="text-align: center;"><span style="font-size: 14pt;"><span style="font-weight: 400;">Keliling lingkaran = ½ · π · </span><span style="font-weight: 400;">d</span><span style="font-weight: 400;"> atau </span><span style="font-weight: 400;">2 · π · </span><span style="font-weight: 400;">r</span></span></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><strong>Baca Juga: <a href="https://www.ruangguru.com/blog/cara-menghitung-unsur-lingkaran">Bagaimana Cara Menghitung Luas dan Keliling Lingkaran?</a></strong></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><strong>Contoh Soal:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Sebuah lingkaran memiliki jari-jari 14 cm. Hitunglah keliling dan luas lingkaran tersebut. Gunakan </span><span style="font-weight: 400;"> = 22/7.</span></p>
<p>&nbsp;</p>
<p style="text-align: justify;"><strong>Pembahasan:</strong></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Diketahui: </span><span style="font-weight: 400;"> = 22/7 dan </span><span style="font-weight: 400;">r</span><span style="font-weight: 400;"> = 14 cm</span></p>
<p style="text-align: justify;"><span style="font-weight: 400;">Ditanya: luas dan keliling lingkaran …?</span></p>
<p>&nbsp;</p>
<p><strong>Jawab:</strong></p>
<p><img decoding="async" class="size-medium alignleft" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/d5fbe993-7634-4458-8d6b-ea12be2dbd65.png" alt="contoh soal luas dan keliling lingkaran" /></p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p style="text-align: justify;"><span style="font-weight: 400;">Jadi, luas lingkaran tersebut adalah 616 cm² dan kelilingnya adalah 88 cm.</span></p>
<p style="text-align: center;">&#8212;</p>
<p style="text-align: justify;"><span style="font-weight: 400;">Gimana nih, sejauh ini apakah materinya mudah dipahami? Jangan lupa untuk rajin berlatih soal agar pemahaman kamu meningkat, ya! Kalau kamu masih ada pertanyaan lebih lanjut mengenai materi rumus bangun datar, yuk tanyakan langsung ke ahlinya di </span><strong><a href="https://www.ruangguru.com/privat/matematika">Ruangguru Privat Matematika</a></strong><span style="font-weight: 400;">!</span></p>
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<p><strong>Referensi:</strong></p>
<p>https://www.detik.com/edu/detikpedia/d-6867300/16-rumus-bangun-datar-luas-dan-keliling-dengan-contoh-soalnya</p>
<p>https://kumparan.com/kabar-harian/daftar-rumus-bangun-datar-lengkap-dengan-contoh-soalnya-untuk-mengajari-si-kecil-225mNh1IZWD</p>
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                <a href="https://www.ruangguru.com/blog/tag/kelas-7" rel="tag">Kelas 7</a>&nbsp;<a href="https://www.ruangguru.com/blog/tag/konsep-pelajaran" rel="tag">Konsep Pelajaran</a>&nbsp;<a href="https://www.ruangguru.com/blog/tag/matematika-vii" rel="tag">Matematika VII</a>&nbsp;<a href="https://www.ruangguru.com/blog/tag/smp" rel="tag">SMP</a>              </div>
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      }
      .bantuan-bottom-3 {
        bottom: 8rem;
        right: 2rem;
      }
      @media (min-width: 768px) {
        .bantuan-element img {
          width: auto;
          transition: all 0.4s ease;
        }
        .bantuan-top img {
          width: 140px;
        }
        .bantuan-bottom img {
          width: 140px;
        }
        .bantuan-top-2 img,
        .bantuan-top-3 img {
          width: 140px;
        }
        .bantuan-bottom-2 img,
        .bantuan-bottom-3 img {
          width: 140px;
        }
        .bantuan-element.clicked {
          bottom: 9rem;
          right: 2.5rem;
        }
        .bantuan-element.clicked img {
          width: auto;
          height: 64px;
        }
      }
      @media (max-width: 767px) {
        .bantuan-top {
          bottom: 8rem;
          right: 1rem;
          align-items: center;
        }
        .bantuan-bottom {
          bottom: 2rem;
          right: 1.25rem;
          align-items: center;
        }
        .bantuan-top-2 {
          bottom: 12rem;
          right: 1rem;
          align-items: center;
        }
        .bantuan-top-3 {
          bottom: 16rem;
          right: 1rem;
          align-items: center;
        }
        .bantuan-bottom-2 {
          bottom: 5rem;
          right: 1.25rem;
          align-items: center;
        }
        .bantuan-bottom-3 {
          bottom: 8rem;
          right: 1.25rem;
          align-items: center;
        }
        .bantuan-element img {
          width: auto;
        }
        .bantuan-top img,
        .bantuan-top-2 img,
        .bantuan-top-3 img {
          width: 96px;
        }
        .bantuan-bottom img,
        .bantuan-bottom-2 img,
        .bantuan-bottom-3 img {
          width: 96px;
        }
      }
      .bantuan-element:hover {
        transform: scale(1.05);
      }
      .bantuan-element img {
        max-width: 100%;
        height: auto;
      }
</style>

<div id="bantuan-divs-container" style="position: relative" data-product="ruangguru" data-table="rg_floating_icon"></div>

<script>
  class FloatingDivsComponent {
    constructor(product = 'ruangguru', table = 'rg_floating_icon') {
      this.container = document.getElementById('bantuan-divs-container');
      this.floatingElements = [];
      this.product = product;
      this.table = table;

      // Configuration
      this.config = {
        baseApiUrl: 'https://gw.ruangguru.com/api/v3/rdb/p_ddgy8hjx5dxsqx/rg_banner/views/',
        apiKey: 'vLyK3dJrDBRmOwueX2OJXibMkgsUbBk0WS4ua2p1',
        maxElements: 2,
        zIndexBase: 100,
      };

      // Build dynamic API URL based on table parameter
      this.config.apiUrl = this.buildApiUrl();

      this.init();
    }

    buildApiUrl() {
      const baseUrl = this.config.baseApiUrl;
      const tableName = this.table || 'rg_floating_icon';
      const queryParams =
        'offset=0&limit=99999&sort=rankPosition&where=(type,eq,floating)~and(showIn,anyof,blog)~and(hide,is,false)~and(product,eq,' +
        this.product +
        ')&nested%5Bcta%5D%5Bfields%5D=Id,name,ctaId,imageUrl,ctaLink,targetUrl';

      return `${baseUrl}${tableName}?${queryParams}`;
    }

    async init() {
      try {
        await this.fetchFloatingElements();
        this.renderFloatingElements();
      } catch (error) {
        console.error('Failed to initialize floating divs component:', error);
      }
    }

    async fetchFloatingElements() {
      try {
        const options = {
          method: 'GET',
          headers: {
            'xc-token': this.config.apiKey || 'vLyK3dJrDBRmOwueX2OJXibMkgsUbBk0WS4ua2p1',
          },
        };

        const urlNoco = this.config.apiUrl;

        const response = await fetch(urlNoco, options);

        if (!response.ok) {
          throw new Error(`HTTP error! status: ${response.status}`);
        }

        const data = await response.json();
        this.floatingElements = this.processApiResponse(data);
      } catch (error) {
        console.error('Error fetching floating elements:', error);
        throw error;
      }
    }

    processApiResponse(data) {
      if (!data || !data.list || !Array.isArray(data.list)) {
        return [];
      }

      console.log(data.list);
      // Ensure we only get maximum 2 elements
      const limitedElements = data.list.slice(0, this.config.maxElements);

      return limitedElements;
    }

    renderFloatingElements() {
      if (!this.container || this.floatingElements.length === 0) {
        return;
      }

      // Additional safeguard: ensure we never render more than maxElements
      const elementsToRender = this.floatingElements.slice(0, this.config.maxElements);

      // Clean up existing elements and their event listeners
      this.cleanupExistingElements();

      // Clear existing content
      this.container.innerHTML = '';

      elementsToRender.forEach((element, index) => {
        const floatingDiv = this.createFloatingDiv(element, index);
        this.container.appendChild(floatingDiv);
      });
    }

    cleanupExistingElements() {
      // Clear existing elements (no need for event listener cleanup with CSS approach)
      const existingElements = this.container.querySelectorAll('[data-floating-element]');
      existingElements.forEach(element => {
        element.remove();
      });
    }

    createFloatingDiv(element, index) {
      const div = document.createElement('div');
      const cta = element.cta[0]; // Use the first CTA

      // Add data attribute for cleanup tracking
      div.setAttribute('data-floating-element', 'true');

      // Apply CSS classes based on rankPosition
      const positionClass = this.getPositionClass(element.rankPosition, index);
      div.className = `bantuan-element ${positionClass}`;
      div.style.zIndex = this.config.zIndexBase + index;

      // Create the link and image
      const link = document.createElement('a');
      link.href = 'https://cta.ruangguru.com/' + cta.ctaId || '#';
      link.target = '_blank';

      // Add tracking attributes
      link.setAttribute('data-tracking-event-type', 'landing_page__core__item_click');
      link.setAttribute(
        'data-tracking-context',
        JSON.stringify({
          product_name: this.product,
          cta_action: 'redirection',
          cta_action_detail: link.href,
          item_type: 'floating',
          item_name: element.name || 'Floating element',
          item_category: 'payment',
          item_position: index,
          item_serial: null,
          section_type: 'floating_item',
          section_position: 'body',
          section_name: 'floating_item',
        })
      );

      const img = document.createElement('img');
      img.src = element.imageUrl + '?h=200&convert=webp';
      img.alt = element.name || 'Floating element';
      img.loading = 'lazy';

      // Add click tracking
      link.addEventListener('click', () => {
        this.trackClick(element, cta);
      });

      link.appendChild(img);
      div.appendChild(link);

      return div;
    }

    getPositionClass(rankPosition, index) {
      // Define positioning classes based on rankPosition
      if (rankPosition === 1) {
        return 'bantuan-top'; // Top position
      } else if (rankPosition === 2) {
        return 'bantuan-bottom'; // Bottom position
      } else {
        // For additional elements, distribute them evenly
        return `bantuan-${index % 2 === 0 ? 'top' : 'bottom'}-${Math.floor(index / 2) + 1}`;
      }
    }

    trackClick(element, cta) {
      // Implement click tracking logic here
      console.log('Floating element clicked:', {
        elementId: element.Id,
        elementName: cta.name,
        ctaId: cta.ctaId,
        targetUrl: cta.targetUrl,
      });
    }

    // Public method to manually refresh
    async refresh() {
      try {
        await this.fetchFloatingElements();
        this.renderFloatingElements();
      } catch (error) {
        console.error('Failed to refresh floating elements:', error);
        throw error;
      }
    }

    // Public method to get current floating elements
    getFloatingElements() {
      return [...this.floatingElements];
    }
  }

  // Initialize the component when DOM is ready
  document.addEventListener('DOMContentLoaded', () => {
    // Get product and table parameters from data attributes
    const container = document.getElementById('bantuan-divs-container');
    const product = container.getAttribute('data-product') || 'ruangguru';
    const table = container.getAttribute('data-table') || 'rg_floating_icon';
    new FloatingDivsComponent(product, table);
  });

  // Export for use in other modules if needed
  if (typeof module !== 'undefined' && module.exports) {
    module.exports = FloatingDivsComponent;
  }
</script>  <div id="wp-install-nudge" style="
    position: fixed;
    bottom: 0rem;
    right: 0;
    z-index: 999;
    cursor: pointer;
    "></div>
    <script>
        (function (w, d, s, o, f, js, fjs) {
            w['Sales-Nudge-Widget'] = o; w[o] = w[o] || function () { (w[o].q = w[o].q || []).push(arguments) };
            js = d.createElement(s), fjs = d.getElementsByTagName(s)[0];
            js.id = o; js.src = f; js.async = 1; fjs.parentNode.insertBefore(js, fjs);
        }(window, document, 'script', 'wpInstallNudge', 'https://cdn-web-2.ruangguru.com/sales-nudge/6198a95130/dist/widget.js'));
        wpInstallNudge('init', { targetElementId: 'wp-install-nudge', clientTarget: 'ruangguru_blog' });

    </script>

<script>
// note: disabled due to auto reload page
// var lastScrollTop = 0;
// $(window).scroll(function(event){
//    var st = $(this).scrollTop();
//    if (st > lastScrollTop){
//     $('#wp-install-nudge').slideDown( "slow", function() {});
//    } else {
//     $('#wp-install-nudge').slideUp( "slow", function() {});
//    }
//    lastScrollTop = st;
// });
// $(document).ready(function () {
//   $("#wp-install-nudge").hide();
// });
$('#wp-install-nudge').click(function(){
  Analytics.track("promotion__install_nudge__click",
  {
    user_email: "ruangguru@blog.com",
    cta_link: widgetData.dataConfig.target_link
  }).catch((err) => {
    console.log("tracker error", err);
  });
});
</script>
</footer>
<div id="__next"></div>

<script type="speculationrules">
{"prefetch":[{"source":"document","where":{"and":[{"href_matches":"\/blog\/*"},{"not":{"href_matches":["\/blog\/wp-*.php","\/blog\/wp-admin\/*","\/blog\/wp-content\/uploads\/*","\/blog\/wp-content\/*","\/blog\/wp-content\/plugins\/*","\/blog\/wp-content\/themes\/ruangguru\/*","\/blog\/*\\?(.+)"]}},{"not":{"selector_matches":"a[rel~=\"nofollow\"]"}},{"not":{"selector_matches":".no-prefetch, .no-prefetch a"}}]},"eagerness":"conservative"}]}
</script>

<script>
  async function getCtaDetails(ctaIds) {
    const endpoint =
      " https://gw.ruangguru.com/api/v3/rdb/p_ddgy8hjx5dxsqx/CTA/views/CTA?offset=0&limit=10&where=(ctaId,in," + ctaIds.toString() + ")";
    try {
      const response = await fetch(endpoint, {
        headers: {
          "xc-token": "-hG2nBDJzSj0agSgNtcJx97M4F02y54nUMoY6plJ",
        },
      });
      const data = await response.json();
      const ctaList = data?.list || [];
      const ctaMap = new Map();
      for (const ctaData of ctaList) {
        ctaMap.set(ctaData.ctaId, ctaData);
      }
      return ctaMap;
    } catch (error) {
      console.error("Error fetching CTA details:", error);
      return new Map();
    }
  }
  async function replaceCTA() {
    const regex = /{{cta\((‘(.*?)’|“(.*?)”)\)}}/g;
    const bodyHTML = document.body.innerHTML;
    const matches = Array.from(bodyHTML.matchAll(regex));
    const ctaIds = matches.map((match) => {
      let ctaId = match[2] ?? match[3];
      return ctaId;
    });

    const ctaMap = await getCtaDetails(ctaIds);

    const replacedHTML = bodyHTML.replace(regex, (match, _inner, ctaId1, ctaId2) => {
      const ctaId = ctaId1 ?? ctaId2;

      const ctaData = ctaMap.get(ctaId);

      if (ctaData) {
        return `<a href="https://cta.ruangguru.com/${ctaData.ctaId}" target="_${ctaData.targetType}" style="position:relative;display:inline-block;">
    <img src="${ctaData.imageUrl}" loading="lazy" alt="${ctaData.altText}" />
  </a>`;
      } else {
        return match;
      }
    });

    document.body.innerHTML = replacedHTML;
  }
</script>
<meta name="author" content="Ruangguru Tech Team">
<!-- Google Tag Manager (noscript) -->
<noscript><iframe src="https://www.googletagmanager.com/ns.html?id=GTM-PVNLZFT" height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript>
<!-- Tracker -->
<script type="text/javascript" src="https://cdn-web-2.ruangguru.com/landing-page-web/public/staticpages/global-assets/js/cta.js"></script>
<script src="https://unpkg.com/@dotlottie/player-component@latest/dist/dotlottie-player.mjs" type="module"></script> 




</body>

</html>