Find the area of a regular pentagon whose apothem is 25.1 and perimeter is 182

If the perimeter is 182, each of its sides are 182/5=36.4

The area of any regular polygon can be expressed as:

a (n, s) = ns^2 / (4tan (180/n)) where n=number of sides and s=side length ...

a (5,36.4) = 2279.56 units^2 (to nearest one-hundredth of a square unit)