Topic Details (Notes format)

How to Calculate the Area of a Trapezoid (Trapezium)

Subject: Mathematics

Book: Maths Mastery

A trapezoid (or trapezium in British English) is a quadrilateral with at least one pair of parallel sides (called bases). Its area formula is A = (1/2) × (sum of parallel sides) × height. If the parallel sides are a = 8 cm and b = 12 cm, and the height is 5 cm, then A = (1/2) × (8 + 12) × 5 = (1/2) × 20 × 5 = 50 cm². This concept applies to irregular land plots, architectural designs with sloped walls, and advanced geometry. Commanding trapezoid area calculations helps you analyze composite figures and real-world shapes more precisely.

Practice Questions

A rectangle has an area of 48 cm² and a length of 8 cm. What is its width?

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The sum of the squares of two consecutive integers is 145. What are the integers?

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If the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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