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## Answers

a²√3/4 = 36√3

a² = 36*4

a = 12

perimeter of equilateral triangle = 3a = 3*12 = 36 cm.

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**Area of an Equilateral triangle = a²**

**a = side of each side of the triangle**

**Now equating,**

**a² = 36√3**

**a² = [√3 gets cancelled]**

**a² = 36×4**

**a = √6×6×2×2 = 12cm**

**Hence, side= 12cm**

**Perimeter = (Side + Side + Side)**

**= (12 + 12 + 12) cm = 36 cm (answer)**