Question

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

Answer 1

Answer:

h = 6 cm

Step-by-step 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 :

$A=\dfrac{1}{2}\times (\text{sum of parallel sides})\times \text{height}$

Substitute the values,

$h=\dfrac{2A}{\text{sum of parallel sides}}\\\\h=\dfrac{2\times 66}{22}\\\\h=6\ cm$

So, the height of the trapezoid 6 cm.