The perimeter of the equilateral triangle is 12 cm.
Here's how we can calculate it:
- Area of an equilateral triangle: The area (A) of an equilateral triangle is calculated using the formula: A = (√3 / 4) * a², where 'a' is the side length of the triangle.
- Given area: We are given that the area of the triangle is 4√3 cm².
- Solving for side length: Substituting the given area into the formula, we get: 4√3 = (√3 / 4) * a². Solving for 'a', we find a = 4 cm.
- Perimeter calculation: The perimeter (P) of an equilateral triangle is calculated as P = 3a. Substituting the value of 'a' we found, we get P = 3 * 4 = 12 cm.
Therefore, the perimeter of the equilateral triangle is 12 cm.
