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the perimeter is x

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the perimeter is x

by sanju09 » Fri Nov 11, 2011 2:45 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) 2 √3
(B) 4 √2
(C) 6
(D) 4 √3
(E) 8
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by rijul007 » Fri Nov 11, 2011 3:27 am
Area = Perimeter

√3/4 a^2 = 3a
√3 a = 12
a = 4√3

Option D
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by GMATGuruNY » Fri Nov 11, 2011 3:29 am
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) 2 √3
(B) 4 √2
(C) 6
(D) 4 √3
(E) 8
Area of an equilateral triangle = (s²/4)√3.
Perimeter = 3s.

Since the area = the perimeter:
(s²/4)√3 = 3s
(s/4)√3 = 3
s = 12/√3 = (12√3)/(√3*√3) = (12√3)/3 = 4√3.

The correct answer is D.
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by sanju09 » Fri Nov 11, 2011 4:42 am
GMATGuruNY wrote:
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) 2 √3
(B) 4 √2
(C) 6
(D) 4 √3
(E) 8
Area of an equilateral triangle = (s²/4)√3.
Perimeter = 3s.

Since the area = the perimeter:
(s²/4)√3 = 3s
(s/4)√3 = 3
s = 12/√3 = (12√3)/(√3*√3) = (12√3)/3 = 4√3.

The correct answer is D.

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https://www.beatthegmat.com/absent-on-k- ... 95461.html
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