AvishkaT101757 AvishkaT101757
  • 25-10-2022
  • Mathematics
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Find the area of a regularpolygon with 5 sides that has aside length of 6 inches and anapothem of 9 inches. Area = ?

Find the area of a regularpolygon with 5 sides that has aside length of 6 inches and anapothem of 9 inches Area class=

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YuvalX770429 YuvalX770429
  • 25-10-2022

SOLUTION

Write out the formula

[tex]\text{area of regular polygon=}\frac{A\text{ }\times P}{2}[/tex]

where A= apothem and P= perimeter of the regular polygon

[tex]\begin{gathered} A=9in \\ P=6(5)=30in \\ \text{perimeter of the regular polygon is sum of all the lenght} \\ \text{the number of sides }\times the\text{ lenght of a side } \end{gathered}[/tex]

The area of the regular polygon is

[tex]\frac{9\times30}{2}=9\times15=135in^2[/tex]

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