Question

A trapezoid with bases that measure 5 centimeters and 7 centimeters has a height if 4.5 centimeters. What is the area?

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\\ h=4.5 \end{cases}\implies \begin{array}{llll} A=\cfrac{4.5(5+7)}{2}\implies A=\cfrac{4.5(12)}{2} \\\\\\ A=4.5(6)\implies A=27 \end{array}`