Answer:
15.9 centimeters
Step-by-step explanation:
the information we have is:
Perimeter: [tex]P=95.4cm[/tex]
Number of sides of the polygon: [tex]n=6[/tex]
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:
[tex]P=nl[/tex]
where n is the number of sides and [tex]l[/tex] is the length of each side.
So we clear for [tex]l[/tex] and we get:
[tex]l=\frac{P}{n}[/tex]
and subtituting the known values:
[tex]l=\frac{95.4cm}{6}\\ l=15.9cm[/tex]
each side is 15.6 centimeters long
