High School Math : How to find the length of the side of a pentagon

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #501 : Plane Geometry

What is the side length of a regular pentagon with a perimeter of ?

Possible Answers:

Correct answer:

Explanation:

To find the side length of a regular pentagon with a perimeter of  you must use the equation for the perimeter of a pentagon.

The equation is 

Plug in the numbers for perimeter and number of sides to get 

Divide each side of the equation by the number of sides to get the answer for the side length. 

The answer is .

Example Question #502 : Plane Geometry

Find the length of the side of the following pentagon.

Angle_length_of_side_pentagon

The perimeter of the pentagon is .

Possible Answers:

 

 

 

Correct answer:

 

 

 

Explanation:

The formula for the perimeter of a regular pentagon is

,

where  represents the length of the side.

Plugging in our values, we get:

Example Question #7 : Pentagons

Find the length of the side of the following pentagon.

Angle_length_of_side_pentagon

The perimeter of the pentagon is .

Possible Answers:

 

 

 

Correct answer:

Explanation:

The formula for the perimeter of a regular pentagon is

,

where  represents the length of the side.

Plugging in our values, we get:

 

 

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