staytinyjoong
staytinyjoong staytinyjoong
  • 06-04-2022
  • Mathematics
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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 83 feet and the area is 21414 feet squared class=

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jdoe0001 jdoe0001
  • 06-04-2022

keeping in mind that regular polygon has 12 sides

[tex]\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[/tex]

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