Question

A trapezoid has an area of 150 square meters. If the bases are 14 meters, what is the height of the trapezoid?

Answer 1

`\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}\quad \begin{cases} a,b=\stackrel{parallel~sides}{bases}\\ h=height\\ --------\\ A=150\\ a+b=14 \end{cases}\implies 150=\cfrac{h(14)}{2} \\\\\\ 300=14h\implies \cfrac{300}{14}=h\implies \cfrac{150}{7}=h\implies 21(3)/(7)=h`