The area of trapezoid is calculated as -
Area of trapezoid = [tex] \frac{a + b}{2} X height [/tex]
Here, a = base 1
b = base 2
Height is the height of trapezoid.
It is given that,
Area of trapezoid = 166.75 in
Base 1, a = 21 in
Base 2, b = 8 in
Area of trapezoid = [tex] \frac{a + b}{2} X height [/tex]
166.75 in = [tex] \frac{21 in + 8 in}{2} X height [/tex]
Height = [tex] \frac{ 166.75 in}{14.5}
Height = 11.5 in
Thus, height of trapezoid = 11.5 In
