Last visit was: 23 Apr 2026, 23:26 It is currently 23 Apr 2026, 23:26
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
Sub 505 (Easy)|   Geometry|      
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 23 Apr 2026
Posts: 109,802
Own Kudos:
810,897
 [1]
Given Kudos: 105,868
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: 109,802
Kudos: 810,897
 [1]
If the area of a rectangle is 24 and the ratio width/length = 2/3, the 01 Oct 2017, 07:10
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

5% (low)

Question Stats:

85% (00:50) correct 15% (00:59) wrong based on 99 sessions

History

Date
Time
Result
Not Attempted Yet
If the area of a rectangle is 24 and the ratio width/length = 2/3, then the length of the rectangle is

(A) 3
(B) 4
(C) 6
(D) 8
(E) 12
ShowHide Answer
Official Answer
C
User avatar
ss3617
User avatar
Joined: 17 Jul 2017
Last visit: 21 Jun 2019
Posts: 115
Own Kudos:
61
Given Kudos: 27
Location: India
GMAT 1: 690 Q50 V33
GMAT 2: 750 Q50 V40
WE:Engineering (Manufacturing)
GMAT 2: 750 Q50 V40
Posts: 115
Kudos: 61
If the area of a rectangle is 24 and the ratio width/length = 2/3, the 01 Oct 2017, 07:17
Kudos
Add Kudos
Bookmarks
Bookmark this Post
we know that width/length = 2/3.
So, let width be 2x and length be 3x.
area = Width*length = 2x*3x = 24
6x^2=24.
Solving we get x=2.
Length = 3x = 6.
User avatar
vivek6199
User avatar
Joined: 21 Sep 2016
Last visit: 08 Dec 2022
Posts: 469
Own Kudos:
557
Given Kudos: 68
Status:Transforming Educational System
Location: India
Concentration: Nonprofit, Social Entrepreneurship
Schools: Boston U '20 (A)
WE:Education (Non-Profit and Government)
Products:
My Reviews
Schools: Boston U '20 (A)
Posts: 469
Kudos: 557
If the area of a rectangle is 24 and the ratio width/length = 2/3, the 01 Oct 2017, 07:21
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Suppose width=2 units and length=3 units
Thus, area= 2*3=6 sq units
however, actual area is 24 sq. units.
Thus, the scaling factor is \(\sqrt{24/6}\)=2
Thus actual length= 3*2=6
User avatar
generis
User avatar
Senior SC Moderator
Joined: 22 May 2016
Last visit: 18 Jun 2022
Posts: 5,258
Own Kudos:
37,728
Given Kudos: 9,464
Expert
Expert reply
Posts: 5,258
Kudos: 37,728
If the area of a rectangle is 24 and the ratio width/length = 2/3, the 01 Oct 2017, 08:02
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If the area of a rectangle is 24 and the ratio width/length = 2/3, then the length of the rectangle is

(A) 3
(B) 4
(C) 6
(D) 8
(E) 12
Show more
\(L*W\) = rectangle area = \(24\)

\(\frac{W}{L} = \frac{2}{3}\)

\(W = \frac{2}{3}L\)

Substitute: \(\frac{2}{3}L*L = 24\)

\(\frac{2}{3}L^2 = 24\)

\(L^2 = 36\)

\(L = 6\)

Answer C
User avatar
Abhishek009
User avatar
Board of Directors
Joined: 11 Jun 2011
Last visit: 17 Dec 2025
Posts: 5,903
Own Kudos:
5,452
Given Kudos: 463
Status:QA & VA Forum Moderator
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Posts: 5,903
Kudos: 5,452
If the area of a rectangle is 24 and the ratio width/length = 2/3, the 01 Oct 2017, 08:39
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If the area of a rectangle is 24 and the ratio width/length = 2/3, then the length of the rectangle is

(A) 3
(B) 4
(C) 6
(D) 8
(E) 12
Show more

\(3x*2x = 24\)

Or, \(6x^2 = 24\)

Or, \(x^2 = 4\)

So, \(x = 2\)

Hence Length of the rectangle is 2*3 = 6

Thus, answer must be (C) 6
User avatar
mohshu
User avatar
Joined: 21 Mar 2016
Last visit: 26 Dec 2019
Posts: 410
Own Kudos:
143
Given Kudos: 103
Products:
My Reviews
Posts: 410
Kudos: 143
If the area of a rectangle is 24 and the ratio width/length = 2/3, the 01 Oct 2017, 09:11
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If the area of a rectangle is 24 and the ratio width/length = 2/3, then the length of the rectangle is

(A) 3
(B) 4
(C) 6
(D) 8
(E) 12
Show more


since the ratios are given,,,, let the sides be 2x and 3x...

area = 2x * 3x = 6x^2 = 24

solving the above equation we can get the value of x = 2...

length = 6
anc C
User avatar
Skywalker18
User avatar
Retired Moderator
Joined: 08 Dec 2013
Last visit: 15 Nov 2023
Posts: 1,973
Own Kudos:
10,167
Given Kudos: 171
Status:Greatness begins beyond your comfort zone
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE:Information Technology (Consulting)
Products:
My Reviews
Posts: 1,973
Kudos: 10,167
If the area of a rectangle is 24 and the ratio width/length = 2/3, the 01 Oct 2017, 22:20
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If the area of a rectangle is 24 and the ratio width/length = 2/3, then the length of the rectangle is

(A) 3
(B) 4
(C) 6
(D) 8
(E) 12
Show more

Let width and length of rectangle be 2x and 3x
Area = 24
=> 2x * 3x = 24
=> x^2 = 4
=> x = 2

Length = 3x = 6

Answer C
User avatar
Mo2men
User avatar
Joined: 26 Mar 2013
Last visit: 09 May 2023
Posts: 2,426
Own Kudos:
1,508
Given Kudos: 641
Concentration: Operations, Strategy
Schools: Erasmus (II)
Products:
My Reviews
Schools: Erasmus (II)
Posts: 2,426
Kudos: 1,508
If the area of a rectangle is 24 and the ratio width/length = 2/3, the 01 Oct 2017, 23:23
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If the area of a rectangle is 24 and the ratio width/length = 2/3, then the length of the rectangle is

(A) 3
(B) 4
(C) 6
(D) 8
(E) 12
Show more


\(\frac{Width}{Lenght} =\frac{2}{3} =\frac{4}{6}=\frac{8}{12}\)

Only \(\frac{4}{6}\) gives required area 24

\(Lenght=6\)

Answer: C
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 23 Apr 2026
Posts: 22,283
Own Kudos:
26,531
Given Kudos: 302
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 22,283
Kudos: 26,531
If the area of a rectangle is 24 and the ratio width/length = 2/3, the 04 Oct 2017, 16:39
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If the area of a rectangle is 24 and the ratio width/length = 2/3, then the length of the rectangle is

(A) 3
(B) 4
(C) 6
(D) 8
(E) 12
Show more

We can express the ratio of width to length as 2x : 3x. We can create the equation for the area as:

(2x)(3x) = 24

6x^2 = 24

x^2 = 4

x = 2

Thus, the length of the rectangle is 3(2) = 6.

Answer: C
User avatar
raki99
User avatar
Joined: 11 Apr 2017
Last visit: 07 Apr 2021
Posts: 35
Own Kudos:
16
Given Kudos: 201
Schools: Kelley '20
Schools: Kelley '20
Posts: 35
Kudos: 16
If the area of a rectangle is 24 and the ratio width/length = 2/3, the 14 Oct 2017, 10:36
Kudos
Add Kudos
Bookmarks
Bookmark this Post
we know that width/length = 2/3.
So, let width be 2x and length be 3x.
area = Width*length = 2x*3x = 24
6x^2=24.
Solving we get x=2.
Length = 3x = 6.
Moderators:
Bunuel
Math Expert
109802 posts
Krunaal
Tuck School Moderator
853 posts