Find the area of the regular polygon with the given apothem a and side length s.

Question

pentagon​, aequals28.6 cm​, sequals41.6 cm
Question content area bottom
Part 1
The area is
  
enter your response here cm squared.
​(Round to three decimal places as​ needed.)

Answer 1

Part 1:
The area of a regular polygon can be found by using the formula:

Area = 1/2 * apothem * perimeter

First, we need to find the perimeter of the pentagon. Since a pentagon has 5 sides, the perimeter is given by:

Perimeter = 5s = 5(41.6) = 208 cm

Now, we can calculate the area:

Area = 0.5 * 28.6 * 208
Area = 2981.6 cm^2

Therefore, the area of the pentagon is 2981.6 cm^2.

Answer 2

do not round

Answer 3

Area = 0.5 * 28.6 * 208
Area = 2981.6 cm^2

Thus, the area of the pentagon is 2981.6 cm^2.