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Equilateral triangle

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by umaa » Mon Jul 27, 2009 6:08 pm
Is the perimeter of equilateral triangle T greater than the
perimeter of square S?
(1) The ratio of the area of T to the area of S is sqrroot3 : 1.
(2) The ratio of the length of a side of T to a side of S is 2 : 1.
Last edited by umaa on Tue Jul 28, 2009 11:08 am, edited 1 time in total.
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Source: — Data Sufficiency |
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by real2008 » Tue Jul 28, 2009 2:52 am
is answer D?
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ans

by vyomb » Tue Jul 28, 2009 4:26 am
answer is D.
Pls confirm the OA.
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by ghacker » Tue Jul 28, 2009 6:31 am
Since we are taking about Equilateral Triangles and Squares ;

If we are given the area we can find the length of a side

and If we know the lengths ( actual lengths or the ratio of lengths ) we know the ratio of the perimeters

If we know the ration then we know which one is the larger one

So both Statement (i) and Statement(ii) are independently sufficient

Hence the answer is D
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by umaa » Tue Jul 28, 2009 11:12 am
OA is D
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by shahdevine » Fri Jul 31, 2009 3:33 pm
Is the perimeter of equilateral triangle T greater than the
perimeter of square S?
(1) The ratio of the area of T to the area of S is sqrroot3 : 1.
(2) The ratio of the length of a side of T to a side of S is 2 : 1.

wanted to post explanans.

statement 1)

area of T/area of S is sqrroot3:1
(T*sqrroot(3)/4)/S^2=sqrroot3/1

solve for lengths T and S from above equation and determine your perimeters. Sufficient.

Statement 2)

Remember questions is asking is Perimeter of T > Perimeter of S

Restate: Is 3T>4S?

Given T:S=2:1 or 2x:1x

so plug in ratio into restate --> is 3(2x)>4(x)?

sufficient.

D is answer
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