Question

Can you help me out

Answer 1

The base of trapezoid is equal to a = 25.5 cm and b = 43.5 cm.

The area of trapezoid is A = 1656.

The formula for the area of trapezoid is,

$A=\frac{a+b}{2}\cdot h$

Substitute the values in the formula to obtain the height of trapezoid.

$\begin{gathered} 1656=\frac{25.5+43.5}{2}\cdot h \\ h=\frac{1656\cdot2}{69} \\ h=24\cdot2 \\ =48 \end{gathered}$

So height of trapezoid is 48 cm.