Question

The area of a trapezium is $405c{m}^2$. its parallel sides are in the ratio $4:5$ and the distance between them is $18cm$. Find the length of each of the parallel sides.

Answer 1

Let, the parallel sides be $4x,5x$ respectively

Height $=18cm$

The area of trapezium $=405c{m}^2$

$⟹\frac{1}{2}h(a+b)=405$

$⟹\frac{1}{2}\times 18\times (4x+5x)=405$

$⟹9\times 9x=405$

$⟹81x=405$

$\therefore x=\frac{405}{81}=5$

The length of each of the parallel sides are $20cm,25cm$ respectively