kschmitt638 kschmitt638
  • 20-10-2019
  • Mathematics
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A 7 sided polygon has a area of 70in and a perpendicular distance of 5in what is the perimeter?

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dhejzhjejd dhejzhjejd
  • 20-10-2019

Answer:

Step-by-step explanation:

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jdoe0001 jdoe0001
  • 20-10-2019

Check the picture below.

[tex]\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ A=70\\ a=5 \end{cases}\implies 70=\cfrac{1}{2}(5)p\implies 140=5p \\\\\\ \cfrac{140}{5}=p\implies 28=p[/tex]

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