What is the area of an equilateral triangle that has a perimeter of 36 centimeters? Round to the nearest square centimeter.

A. 15 square centimeters

B. 62 square centimeters

C. 72 square centimeters

D. 705 square centimeters

First, we need to know the sides of the equilateral triangle

Side = 36 / 3

Side = 12 cm.

The formula of getting the Area of an equilateral triangle is:

Area = square root (3) / 4 * a^2

Area = square root (3) / 4 * 12^2

Area = 62.3538 cm^2

Approximately, the area is equal to 62 square centimeters. The correct answer is letter B.