Question

The area of a trapezium is 400 cm${}^2$, the distance between the parallel sides is 16 cm. If one of the parallel sides is 20 cm, find the length of the other side.

Answer 1

Let the length of the other side be 'x’ cm

Area of trapezium $=\frac{1}{2}$ (Sum of length of parallel sides) $\times$ (Distance between parallel sides)

400 cm${}^2$ = $=\frac{1}{2}$ (20 +x) $\times$ 16 cm

$400=8\times (20+x)$

$50=20+x$

$x=50-20=30$ cm