Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

It is currently 28 May 2017, 19:54

Close

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
Your Progress

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Does rectangle A have a greater perimeter than rectangle B?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

1 KUDOS received
Manager
Manager
avatar
Joined: 21 Feb 2010
Posts: 207
Followers: 2

Kudos [?]: 34 [1] , given: 1

Does rectangle A have a greater perimeter than rectangle B? [#permalink]

Show Tags

New post 28 Jul 2010, 05:45
1
This post received
KUDOS
4
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

49% (02:39) correct 51% (01:12) wrong based on 123 sessions

HideShow timer Statistics

Does rectangle A have a greater perimeter than rectangle B?

(1) The length of a side of rectangle A is twice the length of a side of rectangle B
(2) The area of rectangle A is twice the area of rectangle B
[Reveal] Spoiler: OA
Manager
Manager
avatar
Joined: 16 Apr 2010
Posts: 221
Followers: 4

Kudos [?]: 127 [0], given: 12

Re: rectangle [#permalink]

Show Tags

New post 28 Jul 2010, 06:04
Hi,

Statement one provides information about one side only. This is not enough since one side of rect A can be greater than one side of rect B while the second side of rectangle A can be either less or greater than the second side of rectangle B. Remember Perimeter = 2(L+W).
Consider:
Rect A: 20*20
Rect B: 1*2
or
Rect A: 20*1
Rect B: 1*40

Statement 2 is not sufficient as well. Consider:
Rect A: 20*1, P=42
Rect B: 1*10, P=22
or
Rect A: 2*2, P=8
Rect B: 20:0.1, P=40.2

Taking both conditions, the answer will be sufficient.
You can also solve this problem by equations.

regards,
Jack
Expert Post
2 KUDOS received
Math Expert
User avatar
P
Joined: 02 Sep 2009
Posts: 39037
Followers: 7750

Kudos [?]: 106481 [2] , given: 11626

Re: rectangle [#permalink]

Show Tags

New post 28 Jul 2010, 06:09
2
This post received
KUDOS
Expert's post
2
This post was
BOOKMARKED
tt11234 wrote:
hello all,
here's the question...
does rectangle A have a greater perimeter than rectangle B?
1) the length of a side of rectangle A is twice the length of a side of rectangle B
2) the area of rectangle A is twice the area of rectangle B

the answer is C, could someone please explain why C is the answer? thanks!


Let the sides of rectangle A be \(s\) and \(t\) and the side of rectangle B \(m\) and \(n\).

Question: is \(2(s+t)>2(m+n)\)? --> or is \(s+t>m+n\)?

(1) \(s=2m\), clearly insufficient as no info about the other side of rectangles.

(2) \(st=2mn\), also insufficient as if \(s=t=2\), \(m=1\) and \(n=2\) then the answer would be YES, but if \(s=t=2\), \(m=\frac{1}{2}\) and \(n=4\) then the answer would be NO.

(1)+(2) \(s=2m\) and \(st=2mn\) --> substitute \(s\): \(2m*t=2mn\), so \(t=n\). Thus as \(s=2m\) and \(t=n\): \(s+t=2m+n\) which is obviously more than \(m+n\). Sufficient.

Answer: C.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
User avatar
Joined: 16 Jul 2010
Posts: 18
Followers: 1

Kudos [?]: 18 [0], given: 9

Re: rectangle [#permalink]

Show Tags

New post 29 Jul 2010, 12:13
I always love when the OP uses a [Reveal] Spoiler: but posts the OA in the question anyway...
_________________

If you find my posts useful, please award me some Kudos!

Intern
Intern
avatar
Joined: 09 Dec 2008
Posts: 28
Location: Vietnam
Schools: Somewhere
Followers: 0

Kudos [?]: 75 [0], given: 2

Re: rectangle [#permalink]

Show Tags

New post 31 Jul 2010, 22:53
Bunuel wrote:
tt11234 wrote:
hello all,
here's the question...
does rectangle A have a greater perimeter than rectangle B?
1) the length of a side of rectangle A is twice the length of a side of rectangle B
2) the area of rectangle A is twice the area of rectangle B

the answer is C, could someone please explain why C is the answer? thanks!


Let the sides of rectangle A be \(s\) and \(t\) and the side of rectangle B \(m\) and \(n\).

Question: is \(2(s+t)>2(m+n)\)? --> or is \(s+t>m+n\)?

(1) \(s=2m\), clearly insufficient as no info about the other side of rectangles.

(2) \(st=2mn\), also insufficient as if \(s=t=2\), \(m=1\) and \(n=2\) then the answer would be YES, but if \(s=t=2\), \(m=\frac{1}{2}\) and \(n=4\) then the answer would be NO.

(1)+(2) \(s=2m\) and \(st=2mn\) --> substitute \(s\): \(2m*t=2mn\), so \(t=n\). Thus as \(s=2m\) and \(t=n\): \(s+t=2m+n\) which is obviously more than \(m+n\). Sufficient.

Answer: C.


Nice explanation, Bunuel! Thanks a lot
Current Student
User avatar
Joined: 06 Sep 2013
Posts: 2004
Concentration: Finance
Followers: 68

Kudos [?]: 643 [0], given: 355

GMAT ToolKit User
Re: Does rectangle A have a greater perimeter than rectangle B? [#permalink]

Show Tags

New post 27 Dec 2013, 16:25
tt11234 wrote:
Does rectangle A have a greater perimeter than rectangle B?

(1) The length of a side of rectangle A is twice the length of a side of rectangle B
(2) The area of rectangle A is twice the area of rectangle B


Nice question, let me chip in

Let's call L,W of rectangle A (A,B) and LW, of rectangle B (C,D)

So question is is 2(A+B) > 2(C+D) or if you will A+B>C+D?

(1) A = 2C Insuff

(2) AB > CD Insuff too

(1) + (2) One ends up with 4C + 2B > 2B + CD (1)

On the other hand 2CB>CD so then 2B>D (2)

Now rearranging (1)

Is 2C + 2B > CD?

Well 2B > CD from (2) So given that sides have to be positive then yes

So C is our best choice

Hope it helps

Kudos rain!

Cheers!
J :)
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 15503
Followers: 651

Kudos [?]: 210 [0], given: 0

Premium Member
Re: Does rectangle A have a greater perimeter than rectangle B? [#permalink]

Show Tags

New post 16 Apr 2015, 12:14
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: Does rectangle A have a greater perimeter than rectangle B?   [#permalink] 16 Apr 2015, 12:14
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic What is the perimeter of rectangle M? Bunuel 1 11 Oct 2016, 02:50
3 Experts publish their posts in the topic What is the perimeter of rectangle ABCD ? jamifahad 9 05 Jul 2016, 01:25
1 Experts publish their posts in the topic Is the value of the perimeter of rectangle R greater than guygmat 3 20 Jul 2013, 06:26
9 Experts publish their posts in the topic What is the perimeter of rectangle R? Hussain15 11 27 Sep 2015, 08:32
7 Does the rectangle have an area less than 30? yezz 8 17 Sep 2016, 12:35
Display posts from previous: Sort by

Does rectangle A have a greater perimeter than rectangle B?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


cron

GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.