Question

A trapezoid has an area of 24 square feet. The bases are 5

feet and 7 feet. Write an equation to determine the height of of
the trapezoid. Then determine the height.

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=5\\ b=7\\ A=24 \end{cases}\implies 24=\cfrac{h(5+7)}{2} \\\\\\ 24=\cfrac{h(12)}{2}\implies 24=6h\implies \cfrac{24}{6}=h\implies 4=h`