Step 1 :We are given an equilateral triangle with side lengths of 6 inches. We are asked to find the area of this triangle.
Step 2 :The formula to find the area of an equilateral triangle is \(\frac{\sqrt{3}}{4} \times (\text{side length})^2\).
Step 3 :Substituting the given side length into the formula, we get \(\frac{\sqrt{3}}{4} \times 6^2\).
Step 4 :Solving this expression, we find that the area of the triangle is approximately 15.59 square inches.
Step 5 :Final Answer: The area of the equilateral triangle is approximately \(\boxed{15.59}\) square inches.