Answer:
Explanation:
To find the perimeter of an equilateral triangle, we need to know the length of its sides. Given that the area of the equilateral triangle is 173.2 square meters, we can find the length of its sides as follows:
Area of an equilateral triangle = (√3 / 4) * side^2
173.2 = (√3 / 4) * side^2
Multiply both sides by 4 / √3 to isolate side^2:
side^2 = (173.2 * 4) / √3
side^2 ≈ 750.17
Taking the square root of both sides, we get:
side ≈ √750.17
side ≈ 27.38
The perimeter of an equilateral triangle is calculated by multiplying the length of one side by 3, so:
Perimeter = side * 3
Perimeter ≈ 27.38 * 3
Perimeter ≈ 82.14 meters
Therefore, the perimeter of the equilateral triangle is approximately 82.14 meters.