Question

Find the area, in square meters, of an equilateral triangle with a perimeter of 36 m.

Answer 1

If an equilateral triangle has a perimeter of 36 meters, then each side of the triangle is 36 ÷ 3 = 12 meters long.

To find the area of an equilateral triangle, we can use the formula:

Area = (sqrt(3) / 4) x (side)^2

Plugging in the value for the side, we get:

Area = (sqrt(3) / 4) x (12)^2

Area = (sqrt(3) / 4) x 144

Area = 36 x sqrt(3)

Therefore, the area of the equilateral triangle is 36 times the square root of 3, which is approximately 62.353 square meters (rounded to three decimal places).