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

Study concepts, example questions & explanations for High School Math

varsity tutors app store varsity tutors android store

Example Questions

Example Question #1 : How To Find The Length Of A Side Of A Polygon

If the area of a regular octagon is 160 and the apothem is 8, what is the side length?

Possible Answers:

Correct answer:


To find the side length from the area of an octagon and the apothem we must use the area of a polygon which is

First plug in our numbers for area and the apothem to get 

Then multiply to get 

Then divide both sides by 4 to get the perimeter of the figure. 

When we have the perimeter of a regular polygon, to find the side length we must divide by the number of sides of the polygon, in this case 8. 

After dividing we find the side length is  

Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: