The height of the given trapezoid is 8 ft.
Step-by-step explanation:
Step 1:
The trapezoid's area is calculated by averaging the base lengths and multiplying it with the trapezoid's height.
The trapezoid's area, [tex]A = \frac{b_{1}+b_{2}}{2} h .[/tex]
Here [tex]b_{1}[/tex] is the lower base length and [tex]b_{2}[/tex] is the upper base length while h is the height.
Step 2:
In the given problem, [tex]b_{1}= 5[/tex] ft and [tex]b_{2} = 7[/tex] ft. Assume the height is h ft.
The trapezoid's area = 48 ft².
[tex]48 = \frac{5+7}{2} h, 48 = 6h.[/tex]
[tex]h = \frac{48}{6} = 8.[/tex]
So the height of the given trapezoid is 8 ft.
