Q7 of 33 Page 12

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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