# ISEE Upper Level Math : How to find the length of the side of a pentagon

## Example Questions

### Example Question #1 : How To Find The Length Of The Side Of A Pentagon

In a pentagon in which all the angles are equal and the perimeter is 35 inches, how many inches would be the sum of 2 of the sides?

Explanation:

In a pentagon in which all angles are equal, all sides will also be equal; therefore, the length of one side can be found by dividing the perimeter by 5 (the number of sides in a pentagon). Given that , the sum of 2 of the sides will be

### Example Question #2 : How To Find The Length Of The Side Of A Pentagon

If a pentagon has a perimeter of 85in, what is the length of one side of the pentagon?

Explanation:

A pentagon has 5 equal sides.  We know the formula to find perimeter of a pentagon is

where a is the length of one side of the pentagon.  Now, we know the total perimeter is 85in.  Knowing this, we will substitute into the formula. We get

Therefore, the length of one side of the pentagon is 17in.