Question

The area of an equilateral triangle (all sides are equal, all angles are equal) varies directly as the square of its perimeter. If the perimeter is 12 inches, the area is 6.9 square inches. What is the area if the perimeter is 21 inches? Round to the nearest whole number.

Answer 1

The area of the triangle is 36 square inches. This can be found using the formula A=P2/4, where A is the area and P is the perimeter. Therefore, if the perimeter is 21 inches, the area is (212/4) = 36 square inches.