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 LCM of 12 and 15 is:

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

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If the sum of the angles of a polygon is 1080°, how many sides does the polygon have?

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What is the area of a sector of a circle with radius 14 cm and central angle 90°?

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If 8x = 512, what is the value of x?

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The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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If the angles of a triangle are in the ratio 2:3:4, what is the measure of the largest angle?

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The area of an equilateral triangle with side length 6 cm is:

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

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

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