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

Question

Masteriza [31]

3 years ago

8

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

Mathematics

2 answers:

RideAnS [48] · Answer 1 · 2022-04-03T14:59:42+03:00

RideAnS [48]3 years ago

7 0

Answer:

C-1.5 cm

Step-by-step explanation:

nalin [4] · Answer 2 · 2022-04-03T12:34:28+03:00

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

$A=\frac{1}{2}ap$

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.

$8.3=\frac{1}{2}a(11)$

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