Answer :
The area of a regular polygon is given by the following formula:
[tex]A=\frac{P\cdot a}{2}[/tex]In which P is the perimeter of the polygon and a is the apothem.
First, find the perimeter of the polygon, you do it by multiplying the sidelenght by the number of sides, in this case, 6 sides:
[tex]P=5\cdot6=30[/tex]Now, find the area:
[tex]\begin{gathered} A=\frac{30\cdot4.33}{2} \\ A=64.95 \end{gathered}[/tex]The area of the polygon is 64.95cm^2