NotZERO9833
NotZERO9833 NotZERO9833
  • 23-03-2022
  • Mathematics
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The area of this trapezoid is 30.6 ft
What is the height of the trapezoid?

The area of this trapezoid is 306 ft What is the height of the trapezoid class=

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jdoe0001 jdoe0001
  • 23-03-2022

[tex]\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[/tex]

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