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28 votes
28 votes
Please help me find the area for this hexagon (please show work to) ,:)

Please help me find the area for this hexagon (please show work to) ,:)-example-1
User Ivan Yurchenko
by
2.8k points

1 Answer

15 votes
15 votes

Check the picture below.

so the area of the hexagon is really just the area of two isosceles trapezoids.


\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=2\\ b=4\\ h=2 \end{cases}\implies \begin{array}{llll} A=\cfrac{2(2+4)}{2}\implies A=6 \\\\\\ \stackrel{\textit{twice that much}}{2A = 12} \end{array}

Please help me find the area for this hexagon (please show work to) ,:)-example-1
User Pavel Shishmarev
by
3.2k points
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