james1355 james1355
  • 22-08-2018
  • Mathematics
contestada

Find the area of a regular pentagon with side equal to 3 and apothem equal to K

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jdoe0001 jdoe0001
  • 22-08-2018

a regular polygon has all equal sides.


a PENTA=5, pentagon has 5 sides, so a regular pentagon has 5 equal sides.


[tex] \bf \textit{area of a polygon}\\\\
A=\cfrac{1}{2}ap~~
\begin{cases}
a=apothem\\
p=perimeter\\[-0.5em]
\hrulefill\\
a=K\\
p=\stackrel{3+3+3+3+3}{15}
\end{cases}\implies A=\cfrac{1}{2}K15\implies A=\cfrac{15}{2}K [/tex]

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Ilovelearningg
Ilovelearningg Ilovelearningg
  • 20-02-2019

The answer is 7.5K :)

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