The perimeter of an equilateral triangle is 12 feet. find the area of the triangle.

8√3 square feet
8 square feet
4√3 square feet

Option 3rd is correct

square feet

Step-by-step explanation:

Perimeter(P) and Area(A) of equilateral triangle is given by:

            ....[1]

where, a is the side of the equilateral triangle.

As per the statement:

The perimeter of an equilateral triangle is 12 feet

By definition of perimeter:

Divide both sides by 3 we have;

or

a = 4 ft

Substitute in [1] we have;

Therefore, the area of the equilateral triangle is,   square feet