Answer:
C. 1.5 cm
Step-by-step explanation:
A pentagon is a polygon with 5 sides.
The formula for the area of a regular polygon is
[tex]A=\frac{1}{2}ap[/tex]
where a is the apothem and p is the perimeter. The perimeter is found by multiplying the number of sides of the figure by the length of 1 of those sides:
5(2.2) = 11
Now we have everything we need to solve for the length of the apothem.
[tex]8.3=\frac{1}{2}a(11)[/tex]
Begin by multiplying both sides by 2 to get rid of the fraction, so
16.6 = 11a Divide both sides by 11 to get
a = 1.5090909 or
C. 1.5 cm
