Question

The area of an equilateral triangular plot is 16√3 sq.m, then the cost of putting fence around the plot at the rate of ₹10 per metre is


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Answer 1

Step-by-step explanation:

Given, area of an equilateral triangle = 16√3 m2

Area of an equilateral triangle = √3/4 (side)2

√3/4(Side)2 = 16√3 ⇒ (Side)2 = 64

⇒ Side =8 m

[taking positive square root because side is always positive]

Perimeter of an equilateral triangle = 3 x Side= 3 x 8 = 24 m

Hence, the perimeter of an equilateral triangle is 24 m

Hence...1 m costs 10rs

hence 24 m costs 10×24...= 240 rs

Cost Of fencing is 240 rs