Find the area of the regular polygon with the given apothem an and side length s. Pentagon a= 26.1 s=37.9

Answer 1

To find the area of a regular polygon, you can use the formula:

Area = (Perimeter * Apothem) / 2

First, calculate the perimeter of the pentagon. A pentagon has 5 sides, so:

Perimeter = 5 * s
Perimeter = 5 * 37.9
Perimeter = 189.5

Now, you can calculate the area using the given apothem:

Area = (189.5 * 26.1) / 2
Area = 4936.95 / 2
Area = 2468.48

Therefore, the area of the regular pentagon with an apothem of 26.1 and side length of 37.9 is 2468.48 square units.