Question

Find the area of a regular pentagon with a side length of 18 and an apothem of 25.

1075
1100
1125
1150

Answer 1

`\displaystyle \\ A = 5 * \frac{\text{side length}* \text{apothem}}{2}= 5 * (18 * 25)/(2)= 5 * 9 * 25=\boxed{1125}`

Answer 2

The area can be found by multiplying half of the perimeter by the apothem. Here, the perimeter is 18*5=90
So, 25(45)=1125