Last visit was: 14 Jul 2024, 10:24 It is currently 14 Jul 2024, 10:24
Toolkit
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# Is the perimeter of triangle T greater than the perimeter of square S?

SORT BY:
Tags:
Show Tags
Hide Tags
Manager
Joined: 12 Oct 2012
Posts: 93
Own Kudos [?]: 327 [10]
Given Kudos: 198
WE:General Management (Other)
Math Expert
Joined: 02 Sep 2009
Posts: 94342
Own Kudos [?]: 640751 [11]
Given Kudos: 85011
General Discussion
Math Expert
Joined: 02 Sep 2009
Posts: 94342
Own Kudos [?]: 640751 [0]
Given Kudos: 85011
Current Student
Joined: 18 Oct 2014
Posts: 679
Own Kudos [?]: 1786 [2]
Given Kudos: 69
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
Re: Is the perimeter of triangle T greater than the perimeter of square S? [#permalink]
2
Kudos
Is the perimeter of triangle T greater than the perimeter of square S?

(1) The length of the longest side of T is twice the length of a side of S.

(2) T is isosceles.

Source : Jeff Sackmann

Question is if sum of three sides of triangle> sum of 4 sides of square or 4S

(1) The length of the longest side of T is twice the length of a side of S.

Length of longest side = 2S (if length of side of square= S)

Length of longest side +length of other two sides
2S + >2S (Sum of two sides of triangle is always > third side)

>4S

Hence Sufficient.

(2) T is isosceles.
Not sufficient

Senior Manager
Joined: 26 Jun 2017
Posts: 316
Own Kudos [?]: 328 [0]
Given Kudos: 334
Location: Russian Federation
Concentration: General Management, Strategy
WE:Information Technology (Other)
Re: Is the perimeter of triangle T greater than the perimeter of square S? [#permalink]
Mbawarrior01 wrote:
Is the perimeter of triangle T greater than the perimeter of square S?

(1) The length of the longest side of T is twice the length of a side of S.

(2) T is isosceles.

Source : Jeff Sackmann

(2) gives us nothing

(1) is sufficient, because:
Side of triangle = 2a ---> side of square is a ---> the perimetr of the square = 4a
We know that sum of any 2 sides of the triangle is greater than any other side of this triangle, it means:
b+c>2a ---> perimetr = 2a+b+c > 4a ---> suff
Intern
Joined: 31 Jul 2018
Posts: 9
Own Kudos [?]: 1 [0]
Given Kudos: 36
Is the perimeter of triangle T greater than the perimeter of square S? [#permalink]
Bunuel

if a=2x , then how you replaced x by 2a ? it should be a/2 ?

Originally posted by boomerangbak on 15 Aug 2018, 11:55.
Last edited by boomerangbak on 15 Aug 2018, 11:57, edited 1 time in total.
Intern
Joined: 31 Jul 2018
Posts: 9
Own Kudos [?]: 1 [0]
Given Kudos: 36
Re: Is the perimeter of triangle T greater than the perimeter of square S? [#permalink]
Bunuel

if a=2x , then how you replaced x by 2a ? it should be a/2 ?

Senior Manager
Joined: 26 Jun 2017
Posts: 316
Own Kudos [?]: 328 [0]
Given Kudos: 334
Location: Russian Federation
Concentration: General Management, Strategy
WE:Information Technology (Other)
Re: Is the perimeter of triangle T greater than the perimeter of square S? [#permalink]
boomerangbak wrote:
Bunuel

if a=2x , then how you replaced x by 2a ? it should be a/2 ?

Bunuel did not replace x by 2a. He replaced 4x by 2a. So it is all good.
Math Expert
Joined: 02 Sep 2009
Posts: 94342
Own Kudos [?]: 640751 [0]
Given Kudos: 85011
Re: Is the perimeter of triangle T greater than the perimeter of square S? [#permalink]
boomerangbak wrote:
Bunuel

if a=2x , then how you replaced x by 2a ? it should be a/2 ?

__________________
a = 2x, so 4x = 2a.
Non-Human User
Joined: 09 Sep 2013
Posts: 33966
Own Kudos [?]: 851 [0]
Given Kudos: 0
Re: Is the perimeter of triangle T greater than the perimeter of square S? [#permalink]
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Re: Is the perimeter of triangle T greater than the perimeter of square S? [#permalink]
Moderator:
Math Expert
94342 posts