LenaPham
LenaPham LenaPham
  • 04-01-2022
  • Mathematics
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Find the area of the figure. 5 ft The area is square feet.​

Find the area of the figure 5 ft The area is square feet class=

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jdoe0001 jdoe0001
  • 04-01-2022

Check the picture below.

so we really have a trapezoid and a rectangle, let's get their area and sum them up.

[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\\ h=5\\ a=7\\ b=14 \end{cases}\implies A=\cfrac{5(7+14)}{2}\implies A=\cfrac{105}{2} \\\\\\ \stackrel{\textit{\large areas}}{\stackrel{trapezoid}{\cfrac{105}{2}}~~ +~~\stackrel{rectangle}{(12\cdot 14)}}\implies \cfrac{105}{2}+168\implies \cfrac{241}{2}\implies 120\frac{1}{2}[/tex]

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