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Re: Geometry problem - Equal areas between triangle and square [#permalink]

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15 Aug 2010, 23:32

I thought this was a good problem. I overlooked that the triangle was equilateral the first time. I was looking at the shape and not the labels. One reason to always redraw figures!

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed." - Bernard Edmonds

A person who is afraid of Failure can never succeed -- Amneet Padda

one quick question where I am stumped. When you square root a square root is that where you are getting the 4th root?

Yes.

\(\sqrt{3} = 3^{\frac{1}{2}}\)

When you take the root again, you get \((3^{\frac{1}{2}})^{\frac{1}{2}}\) which is equal to \(3^{\frac{1}{4}}\) In other words, it the fourth root of 3.
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Re: If the two regions above have the same area, what is the [#permalink]

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05 Aug 2014, 23:27

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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If the two regions above have the same area, what is the [#permalink]

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29 Jun 2015, 16:51

A. 2 : 3 formula of area for equilateral triangles includes irrational number and area of square is the sides squared, a result without irrational number. One side must have an irrational number and therefore 2:3 cannot not be correct. B. 16 : 3 same reasoning as above. C. 4 : (3)^(1/2) Trick to see whether the final root was taken D. 2 : (3)^(1/4) True statement E. 4 : (3)^(1/4) Trick to test whether you're precise enough when selecting answer choices.

IMO D

gmatclubot

If the two regions above have the same area, what is the
[#permalink]
29 Jun 2015, 16:51

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Whether you’re an entrepreneur, aspiring business leader, or you just think that you may want to learn more about business, the thought of getting your Masters in Business Administration...