Q. 7

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

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 cm2.

Hence, the area of the triangle is 324√3 cm2.

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