# ACT Math : Pentagons

## Example Questions

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### Example Question #16 : Act Math

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

Explanation:

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

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

### Example Question #17 : Act Math

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:

### Example Question #18 : Act Math

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:

### Example Question #1 : Pentagons

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:

### Example Question #2 : Pentagons

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:

### Example Question #1 : Pentagons

If the side of a pentagon is , what is the diagonal of the pentagon?

Explanation:

Write the formula for finding the diagonal of a pentagon.

Plug in the side length and simplify.

### Example Question #4 : Pentagons

Find the length of the diagonal for a pentagon with a a side length of .

Explanation:

Use the formula for the diagonal of a pentagon:

### Example Question #5 : Pentagons

Find the length of the diagonal for a pentagon with a perimeter of .

Explanation:

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

2. Use the formula for the diagonal of a pentagon:

### Example Question #6 : Pentagons

Find the diagonal for a pentagon with a perimeter of .

Explanation:

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

2. Use the formula for the diagonal of a pentagon:

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

If a side of the pentagon is , what is the diagonal of the pentagon?