Question

Louisa drew a polygon with six sides of equal length. If the perimeter of Louisa's polygon is 95.4 centimeters, how long is each side? Use an equation to solve

Answer 1

15.9 centimeters

Explanation:

the information we have is:

Perimeter:
`P=95.4cm`

Number of sides of the polygon:
`n=6`

since each side has equal length, we can use the following equation to find the measure of one side of the polygon, the equation for perimeter:

`P=nl`

where n is the number of sides and
`l` is the length of each side.

So we clear for
`l` and we get:

`l=(P)/(n)`

and subtituting the known values:

`l=(95.4cm)/(6)\\ l=15.9cm`

each side is 15.6 centimeters long