Question

The pentagon below has an area of 8.3 square centimeters and a side of 2.2. What is the approximate length of the apothem? A.0.4 cm B.0.8 cm C.1.5 cm D.1.9 cm

Answer 1

C-1.5 cm

Explanation:

Answer 2

C. 1.5 cm

Explanation:

A pentagon is a polygon with 5 sides.

The formula for the area of a regular polygon is

`A=(1)/(2)ap`

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.

`8.3=(1)/(2)a(11)`

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