Last visit was: 19 Nov 2025, 17:52 It is currently 19 Nov 2025, 17:52
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
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 Level|   Geometry|            
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 19 Nov 2025
Posts: 105,390
Own Kudos:
778,372
Given Kudos: 99,977
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: 105,390
Kudos: 778,372
If the area of a square region having sides of length 6 centimeters is 01 Aug 2018, 23:26
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
E
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:

97% (00:57) correct 3% (01:23) wrong based on 575 sessions

History

Date
Time
Result
Not Attempted Yet
If the area of a square region having sides of length 6 centimeters is equal to the area of a rectangular region having width 2.5 centimeters, then the length of the rectangle, in centimeters, is

A. 8.5
B. 9.5
C. 9.6
D. 10.5
E. 14.4
ShowHide Answer
Official Answer
E
User avatar
pushpitkc
User avatar
Joined: 26 Feb 2016
Last visit: 19 Feb 2025
Posts: 2,802
Own Kudos:
6,063
 [1]
Given Kudos: 47
Location: India
GPA: 3.12
Posts: 2,802
Kudos: 6,063
 [1]
If the area of a square region having sides of length 6 centimeters is 01 Aug 2018, 23:33
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If the area of a square region having sides of length 6 centimeters is equal to the area of a rectangular region having width 2.5 centimeters, then the length of the rectangle, in centimeters, is

A. 8.5
B. 9.5
C. 9.6
D. 10.5
E. 14.4
Show more

From the question stem, we can deduce that the areas must be the same.

Since we can equate the area of a rectangle to that of a square,
\(side^2 = length * breadth\) -> \(length = \frac{side^2}{breadth}\)

Therefore, the length of the rectangle is \(\frac{6^2}{\frac{5}{2}} = \frac{36*2}{5} =\) 14.4(Option E)
User avatar
BrentGMATPrepNow
User avatar
Major Poster
Joined: 12 Sep 2015
Last visit: 31 Oct 2025
Posts: 6,739
Own Kudos:
35,355
 [2]
Given Kudos: 799
Location: Canada
Expert
Expert reply
Posts: 6,739
Kudos: 35,355
 [2]
If the area of a square region having sides of length 6 centimeters is 06 Aug 2021, 06:56
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel
If the area of a square region having sides of length 6 centimeters is equal to the area of a rectangular region having width 2.5 centimeters, then the length of the rectangle, in centimeters, is

A. 8.5
B. 9.5
C. 9.6
D. 10.5
E. 14.4
Show more

Given: (area of square) = (area of rectangle)
In other words: (width)(length) = (width)(length)
Plug-in information: (6)(6) = (2.5)(x)
Evaluate: 36 = 2.5x
Solve: x = 36/2.5 = 14.4

Answer: E
User avatar
ArnauG
User avatar
Joined: 23 Dec 2022
Last visit: 14 Oct 2023
Posts: 298
Own Kudos:
42
Given Kudos: 199
Posts: 298
Kudos: 42
If the area of a square region having sides of length 6 centimeters is 03 Jun 2023, 06:12
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The area of a square is given by the formula A = s^2, where A is the area and s is the length of a side.

In this case, the area of the square region with side length 6 centimeters is 6^2 = 36 square centimeters.

The area of a rectangle is given by the formula A = l * w, where A is the area, l is the length, and w is the width.

We are given that the area of the rectangular region is equal to the area of the square, so we have:

36 square centimeters = l * 2.5 centimeters

To find the length of the rectangle, we can divide both sides of the equation by 2.5 centimeters:

l = 36 square centimeters / 2.5 centimeters≈ 14.4 centimeters

Therefore, the length of the rectangle is approximately 14.4 centimeters, which corresponds to option (E).
Moderators:
Bunuel
Math Expert
105390 posts
Krunaal
Tuck School Moderator
805 posts