What is the area of a regular dodecagon (12 sides) with side length of 9 cm and apothem of 16.8 cm?

For this case we have that the area of a regular polygon is given by:

Where:

P: It is the perimeter

a: It is the apothem

Since we have a dodecagon, then the perimeter is:

Then, the area is:

Option B

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d