Chapter 11, Problem 9RP

To determine

To calculate: Thearea of polygon.

Answer to Problem 9RP

The area of polygon is $196$ .

Explanation of Solution

Given information:

Apothem of polygon = $7$

Perimeter of polygon = $56$

Formula used:

Area of regular polygon: $A=\frac{1}{2}\times a\times P$

  $\begin{array}{l}a=Apothem,\\ P=Perimeter.\end{array}$

Calculation:

  

Area of polygon:

  $\begin{array}{l}{A}_{Polygon}=\frac{1}{2}\times a\times P\\ A_{Polygon}=\frac{1}{2}\times (7)\times (56)\\ A_{Polygon}=196\end{array}$