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

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

$160=\frac{1}{2}(8)(perimeter)$

Then multiply to get

Then divide both sides by 4 to get the perimeter of the figure. $\frac{160}{4}=40$

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. $\frac{40}{8}=5$

After dividing we find the side length is

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

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