Di artikel Matematika kelas 7 ini, kita akan membahas tentang diagram venn, mulai dari karakteristik, bentuk-bentuk, dan cara pengoperasiannya dalam bentuk contoh soal. Yuk, kita pelajari bersama!
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Teman-teman, kamu sudah baca belum artikel tentang istilah-istilah dalam himpunan? Kalo belum, coba deh baca dulu. Nah, pada artikel kali ini, kita akan mempelajari materi lanjutan dari materi tersebut, yaitu diagram venn. Apa sih diagram venn itu?
Mengenal Diagram Venn
Diagram venn adalah suatu gambar yang digunakan untuk menyatakan hubungan antar dua himpunan atau lebih dalam himpunan semesta. Hmm bingung, ya? Supaya nggak bingung, kita mulai mengingat lagi mengenai pengertian himpunan dulu, deh. Himpunan adalah kumpulan objek yang dapat didefinisikan dengan jelas dan terukur, sehingga dapat diketahui termasuk atau tidaknya di dalam himpunan tertentu.
Nah, diagram venn ini bertugas untuk menggambarkan hubungan antar himpunan tadi ke dalam sebuah diagram agar lebih mudah dipahami.
Karakteristik Diagram Venn
Nah, dalam membuat diagram venn ini, nggak bisa sembarangan, teman-teman. Ada aturan atau ketentuan dalam pembuatannya. Lalu, apa saja ya aturan itu? Kamu bisa lihat gambar mengenai karakteristik diagram venn di bawah ini, ya!
Ada 3 ketentuan di dalam membuat diagram venn, yaitu:
1. Himpunan semesta (S): biasanya digambarkan dengan persegi panjang dan lambang S ditulis pada sudut kiri atas gambar persegi panjang.
2. Setiap himpunan lain yang dibicarakan (selain himpunan kosong) digambarkan dengan lingkaran (kurva tertutup).
3. Setiap anggota ditunjukkan dengan noktah (titik) dan anggota himpunan ditulis di samping noktah tersebut.
Baca Juga: Hubungan Antar Himpunan Matematika dan Contohnya
Jadi inget ya, kalo di diagram venn itu ada kotak persegi panjang dengan lambang S, lingkaran pertama yang nunjukkin himpunan 1, dan lingkaran kedua yang nunjukkin himpunan 2. Nah, sekarang kita pelajari beberapa bentuk-bentuk diagram venn. Check this out!
Macam-Macam Bentuk Diagram Venn
Kamu masih inget nggak nih, himpunan terbagi menjadi berbagai macam jenis. Oleh karena itu, diagram venn juga bisa terdiri dari berbagai macam bentuk, di antaranya:
1. Himpunan yang Berpotongan
Himpunan yang pertama adalah himpunan yang berpotongan. Himpunan yang berpotongan adalah jika ada anggota himpunan A dan B yang sama. Jadi anggota yang masuk ke dalam himpunan A juga ternyata masuk ke himpunan B. Himpunan A berpotongan dengan himpunan B dapat ditulis A∩B. Bingung ya? Gini loh maksudnya.
2. Himpunan Saling Lepas
Selanjutnya, himpunan saling lepas. Himpunan A dan B dikatakan saling lepas jika tidak ada anggota himpunan A dan B yang sama. Himpunan A saling lepas dengan himpunan B dapat ditulis sebagai A//B. Nah, bentuk diagram venn-nya kaya gini, ya!
Gimana? Lanjut nggak, nih? Jangan sampe bingung ya bedain bentuk diagram venn-nya. Lanjut kuy.
3. Himpunan Bagian
Himpunan yang ketiga adalah himpunan bagian. Himpunan A dapat dikatakan himpunan bagian dari himpunan B jika semua anggota himpunan A merupakan anggota dari himpunan B. Untuk lebih mudahnya di ilustrasikan seperti berikut ini:
4. Himpunan yang Sama
Himpunan yang sama dapat dinyatakan jika setiap anggota A merupakan anggota B dan setiap anggota B merupakan anggota A. Misalnya A = {1, 2, 3, 4, 5} dan B = {5, 4, 3, 2, 1}. Nah anggota kedua himpunan ini sama persis kan? Jadi dapat dikatakan himpunan A sama dengan himpunan B. Himpunan yang sama ini dapat ditulis A = B.
Contoh Soal Diagram Venn
Nah sekarang udah mulai paham kan tentang diagram venn? Sekarang kita coba contoh soalnya yuk. Perhatikan gambar di bawah ini ya!
Contoh Soal 1
Dalam penelitian yang dilakukan oleh sekelompok siswa di kelasnya, dipeoleh data 18 orang sarapan dengan nasi, 5 orang sarapan dengan roti, dan 3 orang sarapan nasi dan roti, sedangkan 4 orang sarapannya tidak dengan nasi ataupun roti. Hitunglah banyaknya siswa dalam kelas tersebut!
Pembahasan:
Kita bisa menggunakan diagram ven untuk menjawab soal tersebut. Jika kita gambarkan dengan diagram ven, maka gambarnya akan seperti berikut ini.
Kamu harus paham bahwa sebanyak 3 siswa yang sarapan dengan nasi dan roti, termasuk ke dalam 18 siswa yang sarapan dengan nasi dan 5 siswa yang sarapan dengan roti. Artinya, kamu harus mencari banyaknya siswa yang sarapan dengan nasi dan roti saja. Untuk mencarinya, kamu bisa menggunakan cara:
Banyak siswa yang sarapan dengan nasi saja = Banyak siswa yang sarapan dengan nasi – Banyak siswa yang sarapan dengan nasi dan roti = 18 – 3 = 15
Banyak siswa yang sarapan dengan roti saja = Banyak siswa yang sarapan dengan roti – Banyak siswa yang sarapan dengan nasi dan roti = 5 – 3 = 2
Dengan demikian, banyaknya siswa dalam kelas tersebut dapat kita hitung dengan cara:
Banyak siswa = Banyak siswa yang tidak sarapan dengan nasi dan roti + Banyak siswa yang sarapan dengan nasi dan roti + Banyak siswa yang sarapan dengan nasi + Banyak siswa yang sarapan dengan roti
Banyak siswa = 4 + 3 + 15 + 2 = 24 siswa.
Contoh Soal 2
Dari beberapa anak remaja, diketahui 25 orang suka minum susu, 20 orang suka minum kopi, dan 12 orang suka susu dan kopi. Dari data di atas, jawablah pertanyaan di bawah ini.
a. jumlah semua anak remaja
b. jumlah remaja yang suka susu saja
c. jumlah remaja yang suka kopi saja
d. jumlah remaja yang suka kedua-duanya
Pembahasan:
Ingat, ya! Sebanyak 12 remaja yang suka minum susu dan kopi itu, termasuk ke dalam 25 remaja yang suka minum susu dan 12 remaja yang suka minum kopi. Jadi, kamu cari dulu banyak remaja yang suka minum susu saja, dan banyak remaja yang suka minum kopi saja, dengan cara:
Banyak remaja suka minum susu = 25 – 12 = 13
Banyak remaja suka minum kopi = 20 – 12 = 8
Sehingga, jika digambarkan, maka bentuk diagram venn-nya menjadi seperti berikut ini:
Oleh sebab itu, dari diagram venn di atas, kita bisa mengetahui bahwa:
a. Jumlah semua anak remaja = 8 + 12 + 13 = 33 orang
b. Jumlah remaja yang suka susu saja = 13 orang
c. Jumlah remaja yang suka kopi saja = 8 orang
d. Jumlah remaja yang suka kedua-duanya = 12 orang
—
Oke, itulah pembahasan mengenai diagram venn, mulai dari karakteristik, macam-macam bentuk, hingga contohnya. Gimana? Udah paham belum tentang diagram venn. Nah untuk mempelajari materi-materi lainnya. yuk belajar dengan ruangbelajar. Dijamin belajar kamu bakalan semakin seru dengan soal-soal pembahasan yang ada. Jangan lupa download ya!
Referensi:
As’ari A.R, Tohir M, Valentino E, Imron Z, Taufiq I. (2017) Matematika SMP/MTs Kelas VII Semester I. Pusat Kurikulum dan Perbukuan, Balitbang, Kemendikbud
Artikel diperbarui pada 19 September 2023.
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<h1 class="content-title">
Diagram Venn: Karakteristik, Bentuk & Cara Pengoperasian | Matematika Kelas 7 </h1>
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<p class="content-author"><a href="https://www.ruangguru.com/blog/author/zara-larasati" class="">Zara Larasati</a> </p>
<p class="content-info"><span>September 19, 2023 • </span> <span>5 minutes read</span></p>
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<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/9d5a1c7d-0267-4276-b379-8140916af463.png" alt="Diagram Venn" /></p>
<blockquote>
<p style="text-align: center; font-size: 16px;"><em style="background-color: transparent;">Di <strong><a href="https://www.ruangguru.com/blog/tag/matematika-vii">artikel Matematika kelas 7</a></strong> ini, kita akan membahas tentang diagram venn, mulai dari karakteristik, bentuk-bentuk, dan cara pengoperasiannya dalam bentuk contoh soal. Yuk, kita pelajari bersama!</em></p>
<p style="text-align: center; font-size: 16px;"> <span style="background-color: transparent;">—</span></p>
</blockquote>
<p> </p>
<p style="text-align: justify;">Teman-teman, kamu sudah baca belum artikel tentang<a href="https://www.ruangguru.com/blog/matematika-kelas-7-pengertian-dan-istilah-istilah-dalam-himpunan"><strong> istilah-istilah dalam himpunan</strong></a>? Kalo belum, coba deh baca dulu. <em>Nah,</em> pada artikel kali ini, kita akan mempelajari materi lanjutan dari materi tersebut, yaitu diagram venn. Apa sih diagram venn itu?</p>
<p> </p>
<h2>Mengenal Diagram Venn</h2>
<p style="text-align: justify;"><strong>Diagram venn adalah suatu gambar yang digunakan untuk menyatakan hubungan antar dua himpunan atau lebih dalam himpunan semesta.</strong> <em>Hmm </em>bingung, ya? Supaya nggak bingung, kita mulai mengingat lagi mengenai pengertian himpunan dulu, deh. Himpunan adalah kumpulan objek yang dapat didefinisikan dengan jelas dan terukur, sehingga dapat diketahui termasuk atau tidaknya di dalam himpunan tertentu.</p>
<p style="text-align: justify;"><em>Nah,</em> diagram venn ini <strong>bertugas untuk menggambarkan hubungan antar himpunan tadi ke dalam sebuah diagram agar lebih mudah dipahami.</strong></p>
<p> </p>
<h2>Karakteristik Diagram Venn</h2>
<p>Nah, dalam membuat diagram venn ini, nggak bisa sembarangan, teman-teman. Ada aturan atau ketentuan dalam pembuatannya. Lalu, apa saja ya aturan itu? Kamu bisa lihat gambar mengenai karakteristik diagram venn di bawah ini, ya!</p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/15e1ace0-ac9e-4df5-b5c2-b1c6c58e8d3e.png" alt="Karakteristik Diagram Venn" /></p>
<p> </p>
<p style="text-align: justify;">Ada <strong>3 ketentuan di dalam membuat diagram venn</strong>, yaitu:</p>
<p>1. Himpunan semesta (S): biasanya digambarkan dengan persegi panjang dan lambang S ditulis pada sudut kiri atas gambar persegi panjang.</p>
<p>2. Setiap himpunan lain yang dibicarakan (selain himpunan kosong) digambarkan dengan lingkaran (kurva tertutup).</p>
<p>3. Setiap anggota ditunjukkan dengan noktah (titik) dan anggota himpunan ditulis di samping noktah tersebut.</p>
<p style="text-align: justify;"><strong>Baca Juga: <a href="https://www.ruangguru.com/blog/matematika-kelas-7-hubungan-antarhimpunan-matematika">Hubungan Antar Himpunan Matematika dan Contohnya</a></strong></p>
<p style="text-align: justify;">Jadi <em>inget </em>ya, kalo di diagram venn itu ada kotak persegi panjang dengan lambang S, lingkaran pertama yang <em>nunjukkin</em> himpunan 1, dan lingkaran kedua yang <em>nunjukkin</em> himpunan 2. <em>Nah, </em>sekarang kita pelajari beberapa bentuk-bentuk diagram venn. <em>Check this out!</em></p>
<p> </p>
<h2>Macam-Macam Bentuk Diagram Venn</h2>
<p>Kamu masih inget nggak nih, himpunan terbagi menjadi berbagai macam jenis. Oleh karena itu, diagram venn juga bisa terdiri dari berbagai macam bentuk, di antaranya:</p>
<h3>1. Himpunan yang Berpotongan</h3>
<p style="text-align: justify;">Himpunan yang pertama adalah himpunan yang berpotongan. Himpunan yang berpotongan adalah jika <strong>ada anggota himpunan A dan B yang sama. </strong>Jadi anggota yang masuk ke dalam himpunan A juga ternyata masuk ke himpunan B. Himpunan A berpotongan dengan himpunan B dapat ditulis <strong>A∩B</strong>. Bingung ya? Gini loh maksudnya.</p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/6f4fb060-8ff3-4e15-a7dc-fb1bba0df423.png" alt="Contoh Himpunan yang Berpotongan - Diagram Venn - Matematika Kelas 7" /></p>
<p> </p>
<h3>2. Himpunan Saling Lepas</h3>
<p style="text-align: justify;">Selanjutnya, himpunan saling lepas. Himpunan A dan B dikatakan saling lepas jika <strong>tidak ada anggota himpunan A dan B yang sama</strong>. Himpunan A saling lepas dengan himpunan B dapat ditulis sebagai <strong>A//B</strong>. <em>Nah,</em> bentuk diagram venn-nya <em>kaya gini, ya</em>!</p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/5cc0f079-b41e-4794-96ce-6f3c4347fdca.png" alt="Contoh Himpunan Saling Lepas - Diagram Venn - Matematika Kelas 7" /></p>
<p> </p>
<p style="text-align: justify;">Gimana? Lanjut <em>nggak, nih</em>? Jangan sampe bingung ya bedain bentuk diagram venn-nya. Lanjut <em>kuy.</em></p>
<h3>3. Himpunan Bagian</h3>
<p style="text-align: justify;">Himpunan yang ketiga adalah himpunan bagian. Himpunan A dapat dikatakan himpunan bagian dari himpunan B jika <strong>semua anggota himpunan A merupakan anggota dari himpunan B.</strong> Untuk lebih mudahnya di ilustrasikan seperti berikut ini:</p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/07376916-ceb7-44cd-b5f1-df12760407b5.png" alt="Contoh Himpunan Bagian - Diagram Venn - Matematika Kelas 7" /></p>
<p> </p>
<h3>4. Himpunan yang Sama</h3>
<p style="text-align: justify;">Himpunan yang sama dapat dinyatakan <strong>jika setiap anggota A merupakan anggota B dan setiap anggota B merupakan anggota A</strong>. Misalnya A = {1, 2, 3, 4, 5} dan B = {5, 4, 3, 2, 1}. <em>Nah</em> anggota kedua himpunan ini sama persis kan? Jadi dapat dikatakan himpunan A sama dengan himpunan B. Himpunan yang sama ini dapat ditulis <strong>A = B</strong>.</p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/2c16064f-9677-4e98-8b38-4a8e88292f85.png" alt="Contoh Himpunan yang Sama - Diagram Venn - Matematika Kelas 7" /></p>
<p> </p>
<h2>Contoh Soal Diagram Venn</h2>
<p style="text-align: justify;"><em>Nah</em> sekarang udah mulai paham kan tentang diagram venn? Sekarang kita coba contoh soalnya <em>yuk</em>. Perhatikan gambar di bawah ini ya!</p>
<p><strong>Contoh Soal 1</strong></p>
<p>Dalam penelitian yang dilakukan oleh sekelompok siswa di kelasnya, dipeoleh data 18 orang sarapan dengan nasi, 5 orang sarapan dengan roti, dan 3 orang sarapan nasi dan roti, sedangkan 4 orang sarapannya tidak dengan nasi ataupun roti. Hitunglah banyaknya siswa dalam kelas tersebut!</p>
<p><strong>Pembahasan:</strong></p>
<p>Kita bisa menggunakan diagram ven untuk menjawab soal tersebut. Jika kita gambarkan dengan diagram ven, maka gambarnya akan seperti berikut ini.</p>
<p><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/3fb44e60-3c0a-4202-9ce0-c69d4d4b6c77.png" alt="contoh soal diagram venn" /></p>
<p>Kamu harus paham bahwa sebanyak 3 siswa yang sarapan dengan nasi dan roti, termasuk ke dalam 18 siswa yang sarapan dengan nasi dan 5 siswa yang sarapan dengan roti. Artinya, kamu harus mencari banyaknya siswa yang sarapan dengan nasi dan roti saja. Untuk mencarinya, kamu bisa menggunakan cara:</p>
<p>Banyak siswa yang sarapan dengan nasi saja = Banyak siswa yang sarapan dengan nasi – Banyak siswa yang sarapan dengan nasi dan roti = 18 – 3 = 15</p>
<p>Banyak siswa yang sarapan dengan roti saja = Banyak siswa yang sarapan dengan roti – Banyak siswa yang sarapan dengan nasi dan roti = 5 – 3 = 2</p>
<p>Dengan demikian, banyaknya siswa dalam kelas tersebut dapat kita hitung dengan cara:</p>
<p>Banyak siswa = Banyak siswa yang tidak sarapan dengan nasi dan roti + Banyak siswa yang sarapan dengan nasi dan roti + Banyak siswa yang sarapan dengan nasi + Banyak siswa yang sarapan dengan roti</p>
<p>Banyak siswa = 4 + 3 + 15 + 2 = <strong>24 siswa</strong>.</p>
<p> </p>
<p><strong>Contoh Soal 2</strong></p>
<p>Dari beberapa anak remaja, diketahui 25 orang suka minum susu, 20 orang suka minum kopi, dan 12 orang suka susu dan kopi. Dari data di atas, jawablah pertanyaan di bawah ini.<br />
a. jumlah semua anak remaja<br />
b. jumlah remaja yang suka susu saja<br />
c. jumlah remaja yang suka kopi saja<br />
d. jumlah remaja yang suka kedua-duanya</p>
<p><strong>Pembahasan:</strong></p>
<p>Ingat, ya! Sebanyak 12 remaja yang suka minum susu dan kopi itu, termasuk ke dalam 25 remaja yang suka minum susu dan 12 remaja yang suka minum kopi. Jadi, kamu cari dulu banyak remaja yang suka minum susu saja, dan banyak remaja yang suka minum kopi saja, dengan cara:</p>
<p>Banyak remaja suka minum susu = 25 – 12 = 13</p>
<p>Banyak remaja suka minum kopi = 20 – 12 = 8</p>
<p>Sehingga, jika digambarkan, maka bentuk diagram venn-nya menjadi seperti berikut ini:</p>
<div class="playbuzz" data-id="d80dae2c-892a-468f-8d0e-2a39c5dd00e2" data-show-share="false" data-show-info="false"><img decoding="async" class="aligncenter size-medium" src="https://cdn-web-2.ruangguru.com/landing-pages/assets/148dfbf5-d3a4-4d50-b96c-50a5d3bd4ecb.png" alt="contoh soal diagram venn" /></div>
<div data-id="d80dae2c-892a-468f-8d0e-2a39c5dd00e2" data-show-share="false" data-show-info="false"></div>
<div data-id="d80dae2c-892a-468f-8d0e-2a39c5dd00e2" data-show-share="false" data-show-info="false">Oleh sebab itu, dari diagram venn di atas, kita bisa mengetahui bahwa:<br />
a. Jumlah semua anak remaja = 8 + 12 + 13 = <strong>33 orang</strong><br />
b. Jumlah remaja yang suka susu saja = <strong>13 orang</strong><br />
c. Jumlah remaja yang suka kopi saja = <strong>8 orang</strong><br />
d. Jumlah remaja yang suka kedua-duanya = <strong>12 orang</strong></div>
<div data-id="d80dae2c-892a-468f-8d0e-2a39c5dd00e2" data-show-share="false" data-show-info="false"></div>
<div style="text-align: center;" data-id="d80dae2c-892a-468f-8d0e-2a39c5dd00e2" data-show-share="false" data-show-info="false">—</div>
<p style="text-align: justify;">Oke, itulah pembahasan mengenai diagram venn, mulai dari karakteristik, macam-macam bentuk, hingga contohnya. Gimana? Udah paham belum tentang diagram venn.<em> Nah</em> untuk mempelajari materi-materi lainnya. yuk belajar dengan <a href="https://ruangguru.onelink.me/blPk/eaff0eb9"><strong>ruangbelajar</strong></a>. Dijamin belajar kamu bakalan semakin seru dengan soal-soal pembahasan yang ada. Jangan lupa download ya!</p>
<p style="text-align: center;"><a class="rg-cta" style="text-align: center;" href="https://link.ruangguru.com/blPk/eaff0eb9" target="_blank" rel="noopener"><img decoding="async" class="aligncenter" src="https://cdn-web.ruangguru.com/landing-pages/assets/cta/0ec4a2df-db2e-4ae1-8473-692756dcb684.jpeg" alt="IDN CTA Blog ruangbelajar Ruangguru" /></a></p>
<p><strong>Referensi:</strong></p>
<p>As’ari A.R, Tohir M, Valentino E, Imron Z, Taufiq I. (2017) Matematika SMP/MTs Kelas VII Semester I. Pusat Kurikulum dan Perbukuan, Balitbang, Kemendikbud</p>
<p> </p>
<p><em>Artikel diperbarui pada 19 September 2023.</em></p>
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<div class="d-lg-none text-center">
<nav class="footer-menu social">
<p class="title">Ikuti Kami</p>
<a target="_blank" href="https://www.instagram.com/ruangguru/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/instagram.png" loading="lazy" alt="Logo Instagram Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.facebook.com/ruanggurucom/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/facebook.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/facebook.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/facebook.png" loading="lazy" alt="Logo Facebook Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://twitter.com/ruangguru/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/twitter.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/twitter.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/twitter.png" loading=" lazy" alt="Logo Twitter Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.youtube.com/ruangguru">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/youtube.png?height=60&convert=webp" type="image/webp">
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<img src="https://cdn-web-2.ruangguru.com/static/youtube.png" loading=" lazy" alt="Logo Youtube Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.linkedin.com/company/ruangguru-com">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/linkedin.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/linkedin.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/linkedin.png" loading=" lazy" alt="Logo LinkedIn Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.tiktok.com/@ruangguru">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/tiktok.png?height=60&convert=webp" type="image/webp">
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<img src="https://cdn-web-2.ruangguru.com/static/tiktok.png" loading=" lazy" alt="Logo TikTok Footer" width="32px" height="32px" />
</picture>
</a>
</nav>
</div>
<p class="footer-copyright">
© 2026 All Rights Reserved PT. Ruang Raya Indonesia
</p>
</div>
<style>
.bantuan-container {
position: relative;
}
.bantuan-element {
position: fixed;
z-index: 999;
display: flex;
align-items: flex-end;
justify-content: flex-end;
cursor: pointer;
transition: all 0.6s ease;
}
.bantuan-top {
bottom: 11rem;
right: 2rem;
}
.bantuan-bottom {
bottom: 2rem;
right: 2rem;
}
.bantuan-top-2 {
bottom: 15rem;
right: 2rem;
}
.bantuan-top-3 {
bottom: 19rem;
right: 2rem;
}
.bantuan-bottom-2 {
bottom: 5rem;
right: 2rem;
}
.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>