**Finding the Area of an Equilateral Triangle with side 2√3 cm**

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

Area = (sqrt(3)/4) * (side length)^2

where the side length of the equilateral triangle is given as 2√3 cm.

**Step 1: Find the Side Length**
The given side length of the equilateral triangle is 2√3 cm.

**Step 2: Substitute the Values into the Formula**
Area = (sqrt(3)/4) * (2√3)^2

Simplifying further:
Area = (sqrt(3)/4) * (2^2) * (√3)^2
= (sqrt(3)/4) * 4 * 3
= sqrt(3) * 3
= 3√3 cm²

**Step 3: Calculate the Final Answer**
Therefore, the area of the equilateral triangle with a side length of 2√3 cm is 3√3 cm².

**Final Answer:**
The area of the equilateral triangle is 3√3 cm².

In summary, we used the formula for the area of an equilateral triangle and substituted the side length to find the area. By simplifying the expression, we obtained the final answer of 3√3 cm².

Area of equilateral triangle =√3/4 a square
√3/4 ×2√3×2√3
√3×√3×√3
3√3