Question

What is the area for this question?

Answer 1

Height of the figure is 12 ft.

Solution:

In this image parallel sides and area are given but height is not given.

We have to find the height of the figure.

Given image is a trapezoid.

Parallel sides = 4.2 ft and 9 ft

Area = 79.2 ft²

Area of the trapezoid = $\frac{1}{2}\times \text{Sum of the parallel sides} \times \text{height}$

$79.2=\frac{1}{2}\times {(4.2 + 9)}\times {h}$

$79.2=\frac{1}{2}\times 13.2\times {h}$

79.2 = 6.6 × h

Divide by 6.6 on both sides, we get

12  =  h

Switch the sides of the equation.

h = 12

Height of the figure is 12 ft.