BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Equilateral triangle

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 727
Joined: Sun Jun 08, 2008 9:32 pm
Thanked: 8 times
Followed by:1 members

Equilateral triangle

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.
Top
Source: — Data Sufficiency |
Legendary Member
Posts: 527
Joined: Thu May 01, 2008 12:06 am
Thanked: 7 times

by real2008 » Tue Jul 28, 2009 2:52 am
is answer D?
Top
User avatar
Junior | Next Rank: 30 Posts
Posts: 23
Joined: Thu Feb 26, 2009 1:19 am
Thanked: 3 times
GMAT Score:650

ans

by vyomb » Tue Jul 28, 2009 4:26 am
answer is D.
Pls confirm the OA.
Top
Master | Next Rank: 500 Posts
Posts: 148
Joined: Wed Jun 03, 2009 8:04 pm
Thanked: 18 times
Followed by:1 members

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
Top
Legendary Member
Posts: 727
Joined: Sun Jun 08, 2008 9:32 pm
Thanked: 8 times
Followed by:1 members

by umaa » Tue Jul 28, 2009 11:12 am
OA is D
Top
Master | Next Rank: 500 Posts
Posts: 197
Joined: Sun May 18, 2008 2:47 am
Thanked: 12 times

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
Top
Post new topic Post Reply
• Page 1 of 1