Question

Find two parallel sides of a trapezium whose area is 1.6meter square ,altitudeis 10dm and onr of the parallel sides is longet tgan the other by 8dm.

Answer 1

Given area of trapezium = 1.6 sq m

Altitude, h = 10 dm = 1 m

Let one of the parallel sides be x then the other side will be (x + 0.8) m

Recall that area of trapezium, A = (1/2) x h x (a + b)

1.6 = (1/2) × 1 × (x + x + 0.8)

3.2 = 2x + 0.8

2x = 3.2 - 0.8 = 2.4

Therefore, x = 1.2 m

(x + 0.8) = 2 m

Thus the parallel sides are 1.2m and 2 m