Respuesta :

Given:

The number of sides in a given polygon is n = 5.

The length of each side is s = 8

The length of the apothem is a = 5.5

To find:

The area of the regular polygon

Explanation:

The formula of the area of the regular polygon is,

[tex]\begin{gathered} A=\frac{1}{2}\times n\times s\times a \\ A=\frac{1}{2}\times5\times8\times5.5 \\ A=110\text{ units}^2 \end{gathered}[/tex]

Thus, the area of the given regular polygon is 110 square units.

Final answer:

The area of the regular polygon is 110 square units.