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length of one side

by sanju09 » Thu Feb 24, 2011 4:44 am
If the area of an equilateral triangle is x square meters and the perimeter is x meters, then what is the length of one side of the triangle in meters?
(A) 6
(B) 8
(C) 4 √2
(D) 2 √3
(E) 4 √3



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by Anurag@Gurome » Thu Feb 24, 2011 4:57 am
If 's' is the side of an equilateral triangle, then area of equilateral triangle = (√3)s^2/4
Perimeter = 3s = x implies s = x/3
Area = x implies x = (√3)(x/3)^2/4 or x = 12√3
Therefore, s = x/3 implies s = 4√3

The correct answer is E.
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by allfta » Thu Feb 24, 2011 8:52 pm
sanju09 wrote:If the area of an equilateral triangle is x square meters and the perimeter is x meters, then what is the length of one side of the triangle in meters?
(A) 6
(B) 8
(C) 4 √2
(D) 2 √3
(E) 4 √3



Source: https://readyforgmat.com

one side of the triangle = x/3
the hight of the triangle = √3 x / 6
the area of the triangle = (√3 x / 12) x (x/3) =x

x= 12√3
Then, x/3 = 4√3

should go for E
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