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

Find the area of the figure The area is square units class=

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jdoe0001 jdoe0001
  • 04-01-2022

Check the picture below.

so we really have two identical trapezoids with bases of 2 and 6 and a height of 4, so let's get their area and sum them up and that's the area of the figure.

[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=4\\ a=2\\ b=6 \end{cases}\implies \begin{array}{llll} A=\cfrac{4(2+6)}{2}\implies A=16\\\\ \stackrel{\textit{area for both trapezoids}}{2A=32} \end{array}[/tex]

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