Question

The sum of the lengths of the two bases of a trapezoid is 22 cm and its area is 66 cm2.

What is the height of the trapezoid

Answer 1

h = 6 cm

Explanation:

Given that,

The area of a trapezoid, A = 66 cm²

The sum of the lengths of the two bases of a trapezoid is 22 cm.

We need to find the height of the trapezoid.

The area of a trapezium is given by :

`A=(1)/(2)* (\text{sum of parallel sides})* \text{height}`

Substitute the values,

`h=\frac{2A}{\text{sum of parallel sides}}\\\\h=(2* 66)/(22)\\\\h=6\ cm`

So, the height of the trapezoid 6 cm.