## Example Questions

### Example Question #21 : Geometry

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 #22 : Geometry

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 #23 : Geometry

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 #24 : Geometry

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

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 #1 : 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 #27 : Geometry

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

Write the diagonal formula for a pentagon. Substitute the side length and find the diagonal. ### Example Question #21 : Act Math

Suppose the side length of a pentagon is . What is the area of the pentagon?      Explanation:

Write the formula for the area of a pentagon. Substitute the side length and simplify the radical.   ### Example Question #21 : Plane Geometry

One side of a regular pentagon is . Find the perimeter of the pentagon.      Explanation:

In a regular pentagon, all of the sides are the same length.

The perimeter can then be found by summing all sides or multiplying by  ### Example Question #1 : How To Find The Perimeter Of A Pentagon What is the perimeter of the regular pentagon pictured above?     Explanation:

The key word in this question is "regular." Since the pentagon is regular, all of its sides are equal. This means that it, in fact, looks like: The perimeter for this is simply or .

### All ACT Math Resources 