Question

find the area of the trapezium ABCD whose AB 5cm BC 13 CM HEIGHT BE 12 CM

Answer 1

Here we will learn how to use the formula to find the area of trapezium.

Area of trapezium ABCD = Area of ∆ ABD + Area of ∆ CBD  

= 1/2 × a × h + 1/2 × b × h

= 1/2 × h × (a + b)  

= 1/2 (sum of parallel sides) × (perpendicular distance between them)

Answer 2

Here we will learn how to use the formula to find the area of trapezium.

Area of trapezium ABCD = Area of ∆ ABD + Area of ∆ CBD 

= 1/2 × a × h + 1/2 × b × h

= 1/2 × h × (a + b) 

= 1/2 (sum of parallel sides) × (perpendicular distance between them) 

8Save

Worked-out examples on area of trapezium

1. The length of the parallel sides of a trapezium are in the rat: 3 : 2 and the distance between them is 10 cm. If the area of trapezium is 325 cm², find the length of the parallel sides. 

Solution: 

Let the common ration be x, 

Then the two parallel sides are 3x, 2x 

Distance between them = 10 cm

Area of trapezium = 325 cm²

Area of trapezium = 1/2 (p₁ + p₂) h

325 = 1/2 (3x + 2x) 10

⇒ 325 = 5x × 5 

⇒ 325 = 25x

⇒ x = 325/25

Therefore, 3x = 3 × 13 = 39 and 2x = 2 × 13 = 26 

Therefore, the length of parallel sides area are 26 cm and 39 cm.