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 = [tex]\frac{1}{2}\times \text{Sum of the parallel sides} \times \text{height}[/tex]
[tex]$79.2=\frac{1}{2}\times {(4.2 + 9)}\times {h}[/tex]
[tex]$79.2=\frac{1}{2}\times 13.2\times {h}[/tex]
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.
