Given the figure below, we are to find the area of the regular polygon with are also to bear in mind that what is shown is the apothem.
let's get the area of a regular polygon with an apothem first.
Area = 1/2nsa
Where:
n is the number of sides
s is the side length
a is the apothem
recall that:
n = 5
s =7.5
a = 5.1
input into the formula.
Area = 1/2(5)(7.5)(5.1)
Area = 1/2(191.25)
Area = 95.625
Therefore, the area of the regular polygon is 95.6