Question

The area of a trapezium shaped field is 420 sq m. If the distance between two parallel sides is 15 m and one of the parallel sides is 24 m, find the other parallel side.​

Answer 1

Let one of the || side be (a = 24m)

Let other || side be b.

Then, the distance between the two || sides (h = 15m)

Given area = 420m²

Therefore,

$\sf{ \frac{1}{2} h(a + b) = area}$

$\sf{\implies \frac{1}{2} \times 15m(24m + b) = 420 {m}^{2} }$

$\sf{\implies \frac{420 {m}^{2} \times 2 }{15m} = 24m + b}$

$\sf{\implies56m = 24m + b}$

$\sf{\implies \: b \: = \: 56m - 24m}$

$\sf{\therefore \: b = 32m}$