PasqualinaI239515 PasqualinaI239515
  • 29-10-2022
  • Mathematics
contestada

Find the area of a regularpolygon with 7 sides that has aperimeter of 63 inches and anapothem of 8 inches.Area[?]in?

Respuesta :

TawfiqR734141 TawfiqR734141
  • 29-10-2022

The regular polygon will be in the form below:

USing the formula

[tex]\text{Area}=\frac{1}{2}\text{nsr}[/tex]

n is the number of sides=7, s is the length of sides and r is the apothem

The length of each of the sides of the heptagon is

[tex]\frac{63}{7}=9\text{inches}[/tex]

Now we have all the parameters to solve for the area

[tex]\begin{gathered} \text{Area}=\frac{1}{2}\times7\times9\times8 \\ =252in^2 \end{gathered}[/tex]

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