### All ACT Math Resources

## Example Questions

### Example Question #15 : Geometry

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

**Possible Answers:**

**Correct answer:**

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 #11 : Plane Geometry

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

**Possible Answers:**

**Correct answer:**

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 #21 : Plane Geometry

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

**Possible Answers:**

**Correct answer:**

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

### Example Question #22 : Plane Geometry

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

**Possible Answers:**

**Correct answer:**

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

### Example Question #23 : Plane Geometry

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

**Possible Answers:**

**Correct answer:**

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