A regular pentagon has an apothem of 3.2 m and an area of 37.2 m². What is the length of one side of the pentagon? (1 point) Responses 3.96 m 3.96 m 4.65 m 4.65 m 11.875 m 11.875 m 23.75 m
To find the length of one side of the pentagon, we can use the formula for the area of a regular pentagon:
Area = (Perimeter * Apothem) / 2
Given that the apothem is 3.2 m and the area is 37.2 m², we can rearrange the formula to solve for the perimeter (5 times the length of one side in this case):
37.2 = (5x * 3.2) / 2
37.2 = 8x
x = 4.65
Therefore, the length of one side of the pentagon is 4.65 m. So the correct answer is 4.65 m.