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9 votes
9 votes
What is the side length of the image if the apothem is 8.3 feet and the area is

214.14 feet squared?

What is the side length of the image if the apothem is 8.3 feet and the area is 214.14 feet-example-1
User Parameshwar Ande
by
2.8k points

1 Answer

19 votes
19 votes

keeping in mind that regular polygon has 12 sides


\textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ans~~ \begin{cases} a=apothem\\ n=\stackrel{number~of}{sides}\\ s=\stackrel{length~of}{a~side}\\[-0.5em] \hrulefill\\ A=214.14\\ a=8.3\\ n=12 \end{cases}\implies 214.14=\cfrac{1}{2}(8.3)(12)s \\\\\\ 214.14=49.8s\implies \cfrac{214.14}{49.8}=s\implies 4.3=s

User Patrick T Nelson
by
3.0k points
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