Question

A gives the area of the trapezoid. Find the missing measure.

A = 132 in.2
7 in.
17 in.

Answer 1

`\textit{Area of a Trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=7\\ b=17\\ A=132 \end{cases}\implies 132=\cfrac{h(7+17)}{2}\implies 132=\cfrac{h(24)}{2} \\\\\\ 132=12h\implies \cfrac{132}{12}=h\implies 11=h`