# Area of an equilateral triangle is 24 root 3 cm square. What will be its perimeter?

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24√3 = √3a²/4

24 = a²/4

a =4√6

perimeter of equilateral triangle = 3a = 12√6 cm

Area of equilateral triangle = √3/4 * x²

∴24√3 = √3/4 * x²

∴24 = x²/4

∴24 * 4 =x²

∴96 = x²

∴16 * 6=x²

∴x = 4√6 cm.

Now, perimeter of the equilateral triangle = 3*x = 3*4√6 =