Given
The regular pentagon whose side is, 4ft.
And, the apothem of the pentagon is approximately 2.75ft.
To find the perimeter and the area of the pentagon.
Explanation:
It is given that,
The regular pentagon whose side is, 4ft.
And, the apothem of the pentagon is approximately 2.75ft.
Since a regular pentagon has equal sides.
Then, the perimeter of the pentagon is,
[tex]\begin{gathered} Perimeter=5\times side \\ =5\times4 \\ =20ft \end{gathered}[/tex]
Also, the area of the pentagon is,
[tex]\begin{gathered} Area=\frac{1}{2}\times Perimeter\times apothem \\ =\frac{1}{2}\times20\times2.75 \\ =27.5ft^2 \end{gathered}[/tex]
Hence, the area of the regular pentagon is 27.5ft^2.
