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# Let side of square be s. Let side of triangle be t.

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Status: Impossible is not a fact. It's an opinion. It's a dare. Impossible is nothing.
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Let side of square be s. Let side of triangle be t.  [#permalink]

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02 Mar 2011, 18:55
00:00

Difficulty:

15% (low)

Question Stats:

87% (00:57) correct 13% (01:02) wrong based on 55 sessions

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Let side of square be s. Let side of triangle be t.

Rephrasing the question.
Q Is ratio of s/t known?
1) Insufficient. s + t = 22. two var, one equation.
2) Sufficient.
4s / 3t = 5/6

Hence B.

kamalkicks wrote:
IS AREA OF SQUARE S GREATER THAN THE AREA OF EQUILATERAL TRIANGLE T ?

A) THE SUM THE LENGTH OF A SIDE S AND A SIDE OF T IS 22 ?

B) THE RATIO OF THE PERIMETER OF SQUARE S TO THE PERIMETER OF TRIANGLE T IS 5 TO 6 ?
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Re: IS AREA OF SQUARE S GREATER ....  [#permalink]

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03 Mar 2011, 00:07
My take on this :

Let side of square - S

Let side of triangle - T

Square = S^2

Eq Triangle = sqrt(3)/4 * T^2

From (1)

S + T = 22

(22 - T)^2 > sqrt(3)/4 * T^2

484 - 44T + T^2 - sqrt(3)/4 * T^2 > 0

T^2 - sqrt(3)/4 * T^2 is always +ve

But for values of T > 11 (484 - 44T) is -ve

Since the exact value of T is not known, so not sufficient

From (1) we have:

4S/3T = 5/6

=> S = 5T/8

So (2) is sufficient
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Re: IS AREA OF SQUARE S GREATER ....  [#permalink]

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07 Mar 2011, 19:14
1 is not Sufficient ( diff values of T leads to different answer)

2 s/T =5/8 ,clearly is sufficient to compare the areas.

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Re: IS AREA OF SQUARE S GREATER ....  [#permalink]

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04 Nov 2011, 07:13
how can we prove this?
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Posts: 53716
Re: Let side of square be s. Let side of triangle be t.  [#permalink]

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03 Jan 2019, 03:44
gmat1220 wrote:
Let side of square be s. Let side of triangle be t.

Rephrasing the question.
Q Is ratio of s/t known?
1) Insufficient. s + t = 22. two var, one equation.
2) Sufficient.
4s / 3t = 5/6

Hence B.

kamalkicks wrote:
IS AREA OF SQUARE S GREATER THAN THE AREA OF EQUILATERAL TRIANGLE T ?

A) THE SUM THE LENGTH OF A SIDE S AND A SIDE OF T IS 22 ?

B) THE RATIO OF THE PERIMETER OF SQUARE S TO THE PERIMETER OF TRIANGLE T IS 5 TO 6 ?

Discussed here: https://gmatclub.com/forum/is-the-lengt ... 10989.html
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Re: Let side of square be s. Let side of triangle be t.   [#permalink] 03 Jan 2019, 03:44
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