Calculating the perimeter of an equilateral triangle - GMAT Quantitative

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The area of an equilateral triangle is . What is the perimeter of ?

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Answer

The area is given, which will allow us to calculate the side of the triangle and hence we can also find the perimeter.

The area for an equilateral triangle is given by the formula

, where is the length of the side of the triangle.

Therefore, , where is the area.

Thus , and the perimeter of an equilateral triangle is three times the side, hence, the final answer is .

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