The area of a regular polygon is 216cm2. The perimeter is 48cm, what is the

length of the apothem?

The answer to your question is Apothem = 9 cm

Step-by-step explanation:

Data

Area = 216 cm²

Perimeter = 48 cm

Formula

Area = Perimeter x apothem / 2

Perimeter = length of the side x number of sides

Process

Substitute the values in the area formula and simplify it.

1. - Substitution

216 = 48a/2

-Solve for a

216 x 2 = 48a

432 = 48a

a = 432 / 48

-Result

a = 9 cm