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

The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?

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A number is increased by 20% and then decreased by 10%. What is the net change?

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What is the remainder when 5^100 is divided by 3?

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A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?

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If a+b = 10 and ab = 21, what is the value of a^3 + b^3?

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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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If 2x = 16, what is the value of x?

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What is the sum of the first 50 positive integers?

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If the product of two numbers is 120 and their sum is 26, what are the numbers?

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If a:b = 5:7 and b:c = 6:11, what is a:c?

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