Q. 7

# If the ratio of area and perimeter of an equilateral triangle is 4√3, find the area of a triangle.

Answer :

**Given:** The ratio of area and perimeter of an equilateral triangle = 4√3

**To Find:** Area of an equilateral triangle.

**Concept Used:**

Area of an equilateral triangle

The perimeter of equilateral triangle = 3a

Where a = side of the equilateral triangle.

**Assumption:**

Let a be the side of an equilateral triangle.

**Explanation:**

a = 12 × √3 × √3

a = 12 × 3

a = 36 cm

Now,

Area = 324√3 cm^{2}.

**Hence, the area of the triangle is 324√3 cm ^{2}.**

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