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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>A trapezium (or trapezoid in North American terms) is a 2-dimensional shape with four sides, where at least one pair of opposite sides are parallel. The surface area of a trapezium is the total area enclosed within its boundaries. In this article, we will learn about the surface area of a trapezium.</p>
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<p>A trapezium (or trapezoid in North American terms) is a 2-dimensional shape with four sides, where at least one pair of opposite sides are parallel. The surface area of a trapezium is the total area enclosed within its boundaries. In this article, we will learn about the surface area of a trapezium.</p>
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<h2>What is the Surface Area of a Trapezium?</h2>
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<h2>What is the Surface Area of a Trapezium?</h2>
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<p>The surface area of a trapezium refers to the total area enclosed by its boundary. It is measured in<a>square</a>units</p>
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<p>The surface area of a trapezium refers to the total area enclosed by its boundary. It is measured in<a>square</a>units</p>
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<p>. A trapezium is a quadrilateral that has two parallel sides known as bases and two non-parallel sides. The bases can be of different lengths, and the distance between them is referred to as the height of the trapezium.</p>
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<p>. A trapezium is a quadrilateral that has two parallel sides known as bases and two non-parallel sides. The bases can be of different lengths, and the distance between them is referred to as the height of the trapezium.</p>
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<h2>Surface Area of a Trapezium Formula</h2>
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<h2>Surface Area of a Trapezium Formula</h2>
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<p>To find the surface area of a trapezium, you need to know the lengths of its two parallel sides (bases) and the height. The<a>formula</a>for the area of a trapezium is:</p>
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<p>To find the surface area of a trapezium, you need to know the lengths of its two parallel sides (bases) and the height. The<a>formula</a>for the area of a trapezium is:</p>
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<p>Area = ½ × (Base₁ + Base₂) × Height</p>
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<p>Area = ½ × (Base₁ + Base₂) × Height</p>
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<p>Here, Base₁ and Base₂ are the lengths of the parallel sides, and Height is the perpendicular distance between them.</p>
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<p>Here, Base₁ and Base₂ are the lengths of the parallel sides, and Height is the perpendicular distance between them.</p>
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<h2>Examples of Calculating Surface Area of a Trapezium</h2>
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<h2>Examples of Calculating Surface Area of a Trapezium</h2>
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<p>Let's look at examples to understand how to calculate the surface area of a trapezium.</p>
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<p>Let's look at examples to understand how to calculate the surface area of a trapezium.</p>
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<h2>Example 1:</h2>
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<h2>Example 1:</h2>
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<p>Calculate the surface area of a trapezium with bases of 8 cm and 12 cm, and a height of 5 cm.</p>
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<p>Calculate the surface area of a trapezium with bases of 8 cm and 12 cm, and a height of 5 cm.</p>
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<p>Area = ½ × (8 + 12) × 5 = ½ × 20 × 5 = 10 × 5 = 50 cm²</p>
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<p>Area = ½ × (8 + 12) × 5 = ½ × 20 × 5 = 10 × 5 = 50 cm²</p>
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<h2>Example 2:</h2>
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<h2>Example 2:</h2>
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<p>Find the surface area of a trapezium where the lengths of the bases are 10 m and 15 m, and the height is 7 m.</p>
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<p>Find the surface area of a trapezium where the lengths of the bases are 10 m and 15 m, and the height is 7 m.</p>
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<p>Area = ½ × (10 + 15) × 7 = ½ × 25 × 7 = 12.5 × 7 = 87.5 m²</p>
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<p>Area = ½ × (10 + 15) × 7 = ½ × 25 × 7 = 12.5 × 7 = 87.5 m²</p>
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<h2>Example 3:</h2>
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<h2>Example 3:</h2>
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<p>A trapezium has bases of 9 in and 14 in, and its height is 6 in.</p>
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<p>A trapezium has bases of 9 in and 14 in, and its height is 6 in.</p>
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<p>Calculate the area. Area = ½ × (9 + 14) × 6 = ½ × 23 × 6 = 11.5 × 6 = 69 in²</p>
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<p>Calculate the area. Area = ½ × (9 + 14) × 6 = ½ × 23 × 6 = 11.5 × 6 = 69 in²</p>
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<h2>Confusion between Bases and Height</h2>
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<h2>Confusion between Bases and Height</h2>
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<p>Students sometimes confuse the lengths of the bases with the height. Remember, the bases are the parallel sides of the trapezium, and the height is the perpendicular distance between them.</p>
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<p>Students sometimes confuse the lengths of the bases with the height. Remember, the bases are the parallel sides of the trapezium, and the height is the perpendicular distance between them.</p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>Area = ½ × (5 + 7) × 4 = ½ × 12 × 4 = 6 × 4 = 24 cm²</p>
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<p>Area = ½ × (5 + 7) × 4 = ½ × 12 × 4 = 6 × 4 = 24 cm²</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Calculate the area of a trapezium with base lengths of 12 m and 20 m and a height of 8 m.</p>
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<p>Calculate the area of a trapezium with base lengths of 12 m and 20 m and a height of 8 m.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Area = 128 m²</p>
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<p>Area = 128 m²</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 2</h3>
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<h3>Problem 2</h3>
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<p>Area = ½ × (12 + 20) × 8 = ½ × 32 × 8 = 16 × 8 = 128 m²</p>
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<p>Area = ½ × (12 + 20) × 8 = ½ × 32 × 8 = 16 × 8 = 128 m²</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>A trapezium has bases of 6 in and 10 in, and its height is 5 in. Find its surface area.</p>
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<p>A trapezium has bases of 6 in and 10 in, and its height is 5 in. Find its surface area.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Area = 40 in²</p>
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<p>Area = 40 in²</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 3</h3>
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<h3>Problem 3</h3>
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<p>Area = ½ × (6 + 10) × 5 = ½ × 16 × 5 = 8 × 5 = 40 in²</p>
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<p>Area = ½ × (6 + 10) × 5 = ½ × 16 × 5 = 8 × 5 = 40 in²</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Find the area of a trapezium with bases 9 cm and 15 cm, and a height of 10 cm.</p>
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<p>Find the area of a trapezium with bases 9 cm and 15 cm, and a height of 10 cm.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Area = 120 cm²</p>
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<p>Area = 120 cm²</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 4</h3>
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<h3>Problem 4</h3>
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<p>Area = ½ × (9 + 15) × 10 = ½ × 24 × 10 = 12 × 10 = 120 cm²</p>
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<p>Area = ½ × (9 + 15) × 10 = ½ × 24 × 10 = 12 × 10 = 120 cm²</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Calculate the surface area of a trapezium with bases of 8 ft and 14 ft, and a height of 9 ft.</p>
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<p>Calculate the surface area of a trapezium with bases of 8 ft and 14 ft, and a height of 9 ft.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Area = 99 ft²</p>
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<p>Area = 99 ft²</p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>It is the total area enclosed within the boundaries of the trapezium, calculated using the formula ½ × (Base₁ + Base₂) × Height.</h2>
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<h2>It is the total area enclosed within the boundaries of the trapezium, calculated using the formula ½ × (Base₁ + Base₂) × Height.</h2>
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<h3>1.What are the bases of a trapezium?</h3>
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<h3>1.What are the bases of a trapezium?</h3>
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<p>The bases of a trapezium are the two parallel sides.</p>
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<p>The bases of a trapezium are the two parallel sides.</p>
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<h3>2.How is the height of a trapezium defined?</h3>
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<h3>2.How is the height of a trapezium defined?</h3>
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<p>The height is the perpendicular distance between the two parallel bases.</p>
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<p>The height is the perpendicular distance between the two parallel bases.</p>
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<h3>3.Is the surface area of a trapezium measured in square units?</h3>
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<h3>3.Is the surface area of a trapezium measured in square units?</h3>
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<p>Yes, the surface area is measured in square units like cm², m², or in².</p>
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<p>Yes, the surface area is measured in square units like cm², m², or in².</p>
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<h3>4.What is the key formula for the surface area of a trapezium?</h3>
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<h3>4.What is the key formula for the surface area of a trapezium?</h3>
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<p>The key formula is Area = ½ × (Base₁ + Base₂) × Height.</p>
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<p>The key formula is Area = ½ × (Base₁ + Base₂) × Height.</p>
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<h2>Common Mistakes and How to Avoid Them in the Surface Area of a Trapezium</h2>
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<h2>Common Mistakes and How to Avoid Them in the Surface Area of a Trapezium</h2>
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<p>Students often make mistakes while calculating the surface area of a trapezium, which leads to wrong answers. Below are some common mistakes and the ways to avoid them.</p>
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<p>Students often make mistakes while calculating the surface area of a trapezium, which leads to wrong answers. Below are some common mistakes and the ways to avoid them.</p>
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<p>What Is Measurement? 📏 | Easy Tricks, Units & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>
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<p>What Is Measurement? 📏 | Easy Tricks, Units & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>
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<h2>Seyed Ali Fathima S</h2>
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<h2>Seyed Ali Fathima S</h2>
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<h3>About the Author</h3>
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<h3>About the Author</h3>
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<p>Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.</p>
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<p>Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.</p>
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<h3>Fun Fact</h3>
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<h3>Fun Fact</h3>
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<p>: She has songs for each table which helps her to remember the tables</p>
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<p>: She has songs for each table which helps her to remember the tables</p>