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If the area of an equilateral triangle is x square meters

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Status: GMAT Date: 10/08/15
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Re: If the area of an equilateral triangle is x square meters [#permalink]

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New post 18 Apr 2015, 21:57
EMPOWERgmatRichC wrote:
Hi aimtoteach,

Your math is fine, but you haven't answered the question that was ASKED.

In your last 'step', you've figured out the value of X. The question asks for the length of ONE SIDE of the triangle; X is the PERIMETER of the equilateral triangle, so you have to divide this result by 3 to get the correct answer.

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Rich


Thank you Rich! Thats a silly error :oops:

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Re: If the area of an equilateral triangle is x square meters [#permalink]

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New post 19 Apr 2015, 11:17
Hi aimtoteach,

It's better to make the mistakes now (during practice) than to make them on Test Day. The easiest way to 'fix' these types of little mistakes is to add a bit more detail/labeling to your work. One of the common wrong answers on Test Day is a 'partial work' wrong answer - meaning that the answer you came up with here could be among the answer choices, so you wouldn't even realize that you made a mistake. You've got the intelligence; now you have to add the consistent 'precision' to your work.

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Re: If the area of an equilateral triangle is x square meters [#permalink]

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If the area of an equilateral triangle is x square meters [#permalink]

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New post 04 Aug 2017, 16:03
m990540 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

x sq. meters = area of equilateral triangle = \(\frac{s^2\sqrt{3}}{4}\)

x meters = perimeter of equilateral triangle = 3s

\(\frac{s^2\sqrt{3}}{4}\) = 3s

\({s^2\sqrt{3}}\) = 12s

\(\frac{s^2}{s}\) = \(\frac{12}{\sqrt{3}}\)

s = \(\frac{12}{\sqrt{3}}\) * \(\frac{\sqrt{3}}{\sqrt{3}}\)

s =\(\frac{12\sqrt{3}}{3}\)

s =\(4\sqrt{3}\)

Answer E

Hmm. I did the above steps without thinking too much, but now I'm doubtful about having set area and perimeter equal, though doing so yielded the correct answer.

Anyone: are we allowed to set x with different units (square meters vs. meters) equal because the numerical value of x is the same?

I'm wondering about scale factor. Perimeter is the sum of lengths. Area is the multiplication of lengths. If we enlarged the perimeter, we would multiply by scale factor \(k\). If we enlarged the area, we would multiply by \(k^2\). I am slightly doubtful about setting a two-dimensional area equal to a one-dimensional perimeter.

Any help would be appreciated.

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If the area of an equilateral triangle is x square meters   [#permalink] 04 Aug 2017, 16:03

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