Question

I got the first one I’m not sure of the other 2

Answer 1

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,

$\begin{gathered} Perimeter=5\times side \\ =5\times4 \\ =20ft \end{gathered}$

Also, the area of the pentagon is,

$\begin{gathered} Area=\frac{1}{2}\times Perimeter\times apothem \\ =\frac{1}{2}\times20\times2.75 \\ =27.5ft^2 \end{gathered}$

Hence, the area of the regular pentagon is 27.5ft^2.