To find the perimeter of an equilateral triangle when its area is given, we can use the following steps:
1. Use the formula for the area of an equilateral triangle:
Area (A) = (sqrt(3) / 4) * side^2
2. Since we know the area, we can rearrange the formula to solve for the side length:
side^2 = (4 * Area) / sqrt(3)
3. Calculate the side length:
side = sqrt((4 * Area) / sqrt(3))
4. Find the perimeter by multiplying the side length by 3 (since all sides are equal in an equilateral triangle):
Perimeter (P) = 3 * side
Since no arithmetic operations are allowed in the answer here, you'll need to perform these calculations on your own to obtain the numerical value for the perimeter. The steps provided will guide you to that result.
