. The length of each side of a regular pentagon is increased by 8 inches, so the perimeter is now 65 inches. What original length of each side of the regular pentagon?

1 Answer
Dec 8, 2017

Original length of regular pentagon is #5# inches.

Explanation:

Let #x# inches be the original length of regular pentagon.

Then #x+8# inches is the increased length of regular pentagon.

Perimeter of regular pentagon is #5*l ; l# being the length of side.

Perimeter of enlarged regular pentagon is #5*(x+8)=65# or

# 5x =65-40=25 or x=5; # inches.

Therefore, original length of regular pentagon is #5# inches [Ans]