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

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

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

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.

GMAT assassins aren't born, they're made,
Rich

Thank you Rich! Thats a silly error

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

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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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04 Aug 2017, 13:39
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If the area of an equilateral triangle is x square meters [#permalink]

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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 =$$4\sqrt{3}$$

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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