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29 votes
29 votes
The area of this trapezoid is 30.6 ft
What is the height of the trapezoid?

The area of this trapezoid is 30.6 ft What is the height of the trapezoid?-example-1
User Shaybakov
by
2.8k points

1 Answer

5 votes
5 votes


\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ A=30.6\\ a=3.2\\ b = 7 \end{cases}\implies 30.6=\cfrac{h(3.2+7)}{2} \\\\\\ 61.2=h(3.2+7)\implies 61.2=10.2h\implies \cfrac{61.2}{10.2}=h\implies 6=h

User Venir
by
3.1k points
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