An equilateral triangular prism has a lateral surface area of 132 meters and a height of 11 meters. What is the side length of the prism's base?

The formula in solving the lateral area of an equilateral triangular prism is:

Lateral Surface Area = P (perimeter) * H (height)

Lateral SA is given which is equal to 132 meters and the height is also given which is equal to 11 meters.

132=P*H

132=P*11

P=132/11

Perimeter=12 units

The base is an equilateral triangle, therefore the side length is jus Perimeter divided by 3.

Side length=P/3

Side length=12 units/3

Side length = 4 units

The answer is 4.

I think it's 24

132 : 11 = 12

12 x 2 = 24