Question

The perimeter of a trapezium is 52 cm. Its non-parallel sides are 10 cm each and the distance between two parallel sides is 8 cm. Find the area of the trapezium.

Answer 1

The perimeter of trapezium is $52$

The length of Non parallel sides is $10$

So, sum of parallel sides $(a+b)=52-20=32$

The height is $8cm$

The area of trapezium is

$=\frac{1}{2}(a+b)h\Rightarrow \frac{1}{2}\left(32\right)\times 10=160c{m}^2$