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

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #16 : Geometry

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

Possible Answers:

Correct answer:

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 .

Example Question #17 : 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:

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 #1 : Pentagons

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

Possible Answers:

Correct answer:

Explanation:

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

Example Question #2 : Pentagons

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

Possible Answers:

Correct answer:

Explanation:

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

Example Question #3 : Pentagons

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

Possible Answers:

Correct answer:

Explanation:

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

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