Find the area of the regular polygon pentagon with a side of 6 m.

Solution:

In order to find the area of pentagon when only the side length is given: 

Area = 1/4 √5(5 + 2√5) a² where ‘a’ is the side of the pentagon.

∴ Area = (1/4) √[5(5 + 2√5)] a²

Area = (1/4) √[5(5 + 2√5)] (6)²

Area = 61.937 m²

Find the area of the regular polygon pentagon with a side of 6 m.

Summary:

The area of the regular polygon pentagon with a side of 6 m is 61.937 m².