staytinyjoong
Answered

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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=

Sagot :

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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