How to find the length of the side of a pentagon

Help Questions

ACT Math › How to find the length of the side of a pentagon

Questions 1 - 5

1

Find the length of each side for regular pentagon with a perimeter of .

Explanation

Use the formula for perimeter to solve for the side length:

2

Find the length of each side for a regular pentagon with a perimeter of .

Explanation

Use the formula for perimeter to solve for the side length:

3

The perimeter of a regular pentagon is . What is the length of one side?

$15\sqrt{3}$

$14\sqrt{7}$

$5\sqrt{6}$

Explanation

A problem like this is very easy. A regular pentagon just looks like:

Pentagon

All of its sides are equal. Therefore, you know that , where is the length of one side. Solving for , you get .

4

Find the length of one side for a regular pentagon with a perimeter of .

Explanation

Use the formula for perimeter to solve for the side length:

5

If the perimeter of a given regular pentagon is . What is the length of one side of this regular pentagon in inches?

Explanation

Use the formula for perimeter to solve for the side length of the regular pentagon:

Where is the perimeter and is the length of a side.

In this case:

$s=\frac{1,268}{5}=253.6$

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