Question

Find the area of a regularpolygon with 5 sides that has aside length of 6 inches and anapothem of 9 inches. Area = ?

Answer 1

Write out the formula

`\text{area of regular polygon=}\frac{A\text{ }* P}{2}`

where A= apothem and P= perimeter of the regular polygon

`\begin{gathered} A=9in \\ P=6(5)=30in \\ \text{perimeter of the regular polygon is sum of all the lenght} \\ \text{the number of sides }* the\text{ lenght of a side } \end{gathered}`

The area of the regular polygon is

`(9*30)/(2)=9*15=135in^2`