Last visit was: 24 Apr 2026, 22:27 It is currently 24 Apr 2026, 22:27
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
605-655 (Medium)|   Geometry|      
User avatar
honchos
User avatar
Joined: 17 Apr 2013
Last visit: 30 Aug 2021
Posts: 358
Own Kudos:
2,489
 [3]
Given Kudos: 298
Status:Verbal Forum Moderator
Location: India
GMAT 1: 710 Q50 V36
GMAT 2: 750 Q51 V41
GMAT 3: 790 Q51 V49
GPA: 3.3
GMAT 3: 790 Q51 V49
Posts: 358
Kudos: 2,489
 [3]
Certain rectangle has the length of a centimeters and the w Updated on: 09 Jun 2014, 09:26
Originally posted by honchos on 09 Jun 2014, 09:21.
Last edited by Bunuel on 09 Jun 2014, 09:26, edited 1 time in total.
Edited the question.
1
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

45% (medium)

Question Stats:

64% (01:31) correct 36% (01:24) wrong based on 215 sessions

History

Date
Time
Result
Not Attempted Yet
Certain rectangle has the length of a centimeters and the width of b centimeters, where a and b are integers and a≥b. If the area of the rectangle is 36 square centimeters, then how many values of a are possible?

A. 4
B. 5
C. 6
D. 7
E. 8

M28-06

Experience GMAT Club Test Questions
Yes, you've landed on a GMAT Club Tests question
Craving more? Unlock our full suite of GMAT Club Tests here
Want to experience more? Get a taste of our tests with our free trial today
Rise to the challenge with GMAT Club Tests. Happy practicing!
GMAT Club Tests Check Our Products Try Free Tests
ShowHide Answer
Official Answer
B
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,818
Own Kudos:
811,092
 [2]
Given Kudos: 105,873
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,818
Kudos: 811,092
 [2]
Certain rectangle has the length of a centimeters and the w 09 Jun 2014, 09:26
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
honchos
Certain rectangle has the length of a centimeters and the width of b centimeters, where a and b are integers and a≥b. If the area of the rectangle is 36 square centimeters, then how many values of a are possible?

A. 4
B. 5
C. 6
D. 7
E. 8

M28-06
Show more

The \(area = ab=36=36*1=18*2=12*3=9*4=6*6\), thus \(a\) can take 5 values: 36, 18, 12, 9, and 6.

Answer: B.
User avatar
honchos
User avatar
Joined: 17 Apr 2013
Last visit: 30 Aug 2021
Posts: 358
Own Kudos:
2,489
Given Kudos: 298
Status:Verbal Forum Moderator
Location: India
GMAT 1: 710 Q50 V36
GMAT 2: 750 Q51 V41
GMAT 3: 790 Q51 V49
GPA: 3.3
GMAT 3: 790 Q51 V49
Posts: 358
Kudos: 2,489
Certain rectangle has the length of a centimeters and the w 17 Jun 2014, 23:45
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
honchos
Certain rectangle has the length of a centimeters and the width of b centimeters, where a and b are integers and a≥b. If the area of the rectangle is 36 square centimeters, then how many values of a are possible?

A. 4
B. 5
C. 6
D. 7
E. 8

M28-06

The \(area = ab=36=36*1=18*2=12*3=9*4=6*6\), thus \(a\) can take 5 values: 36, 18, 12, 9, and 6.

Answer: B.
Show more


Bunuel is there any other method based on some Prime Factorization Concept?
avatar
PareshGmat
avatar
Joined: 27 Dec 2012
Last visit: 10 Jul 2016
Posts: 1,531
Own Kudos:
8,274
Given Kudos: 193
Status:The Best Or Nothing
Location: India
Concentration: General Management, Technology
WE:Information Technology (Computer Software)
Posts: 1,531
Kudos: 8,274
Certain rectangle has the length of a centimeters and the w 17 Jun 2014, 23:51
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Total combinations possible are 5

a ............... b
36 .............. 1
18............... 2
12 .............. 3
9 ............... 4
6 ................. 6

Answer = B
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,818
Own Kudos:
811,092
Given Kudos: 105,873
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,818
Kudos: 811,092
Certain rectangle has the length of a centimeters and the w 18 Jun 2014, 01:25
Kudos
Add Kudos
Bookmarks
Bookmark this Post
honchos
Bunuel
honchos
Certain rectangle has the length of a centimeters and the width of b centimeters, where a and b are integers and a≥b. If the area of the rectangle is 36 square centimeters, then how many values of a are possible?

A. 4
B. 5
C. 6
D. 7
E. 8

M28-06

The \(area = ab=36=36*1=18*2=12*3=9*4=6*6\), thus \(a\) can take 5 values: 36, 18, 12, 9, and 6.

Answer: B.


Bunuel is there any other method based on some Prime Factorization Concept?
Show more

Not really. We should break 36 into the product of two multiples and see in which pairs the first number is more than or equal to the second number.
User avatar
himanshujovi
User avatar
Joined: 28 Apr 2014
Last visit: 29 Aug 2016
Posts: 139
Own Kudos:
77
Given Kudos: 46
Posts: 139
Kudos: 77
Certain rectangle has the length of a centimeters and the w 18 Jun 2014, 04:39
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Why not a rectangle of sides 7.2 cm and 5 cm or 8.5x4 cm ? I dont see any point highlighting that dimensions have to be pure integers.


Sent from my iPhone using Tapatalk
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,818
Own Kudos:
811,092
Given Kudos: 105,873
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,818
Kudos: 811,092
Certain rectangle has the length of a centimeters and the w 18 Jun 2014, 04:47
Kudos
Add Kudos
Bookmarks
Bookmark this Post
himanshujovi
Why not a rectangle of sides 7.2 cm and 5 cm or 8.5x4 cm ? I dont see any point highlighting that dimensions have to be pure integers.


Sent from my iPhone using Tapatalk
Show more

Certain rectangle has the length of a centimeters and the width of b centimeters, where a and b are integers and a≥b.
User avatar
himanshujovi
User avatar
Joined: 28 Apr 2014
Last visit: 29 Aug 2016
Posts: 139
Own Kudos:
77
Given Kudos: 46
Posts: 139
Kudos: 77
Certain rectangle has the length of a centimeters and the w 18 Jun 2014, 06:40
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Oh sorry missed that bit.. Damm this small screen of mobile !!


Sent from my iPhone using Tapatalk
avatar
JoaquinCerda
avatar
Joined: 04 Dec 2020
Last visit: 26 Aug 2021
Posts: 23
Own Kudos:
4
Given Kudos: 129
Posts: 23
Kudos: 4
Certain rectangle has the length of a centimeters and the w 23 Feb 2021, 13:06
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Question, even if it says the figure is a rectangle, we should still consider a>=b?

I wasn't sure if a=b would be counter, because then it would be a square instead of a rectangle
User avatar
SamAn12213
User avatar
Joined: 07 Dec 2023
Last visit: 01 May 2025
Posts: 19
Own Kudos:
12
Given Kudos: 204
Posts: 19
Kudos: 12
Certain rectangle has the length of a centimeters and the w 21 Oct 2024, 03:14
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I adopted a different approach though, a-b>=0...a*b=36....b=36/a,,,,,,,a-36/a>=0,,,,,a^2-36>=0,,, draw the wavy curve,,, u will get a>=6 or a<=-6,,, a can't be negative, indeed,, hence all the factors of 36 greater than or equal to 6,,,, 6,9,12,18,36,,,,
Moderators:
Bunuel
Math Expert
109818 posts
Krunaal
Tuck School Moderator
853 posts