Last visit was: 26 Apr 2026, 12:19 It is currently 26 Apr 2026, 12:19
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
555-605 (Medium)|   Geometry|      
User avatar
Carcass
User avatar
Board of Directors
Joined: 01 Sep 2010
Last visit: 26 Apr 2026
Posts: 4,708
Own Kudos:
37,860
 [10]
Given Kudos: 4,925
Posts: 4,708
Kudos: 37,860
 [10]
What is the area of square ABCD ? 13 Sep 2012, 14:06
2
Kudos
Add Kudos
8
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

25% (medium)

Question Stats:

73% (01:38) correct 27% (01:51) wrong based on 218 sessions

History

Date
Time
Result
Not Attempted Yet
What is the area of square ABCD ?

(1) The length of the side of square ABCD is 2.

(2) For square EFGH, which has sides that are 6 longer than those of square ABCD, the ratio of the perimeter to the area is the reciprocal of the corresponding ratio for square ABCD.
ShowHide Answer
Official Answer
D
User avatar
fameatop
User avatar
Joined: 24 Aug 2009
Last visit: 09 Jun 2017
Posts: 382
Own Kudos:
2,550
Given Kudos: 275
Concentration: Finance
Schools:Harvard, Columbia, Stern, Booth, LSB,
Posts: 382
Kudos: 2,550
What is the area of square ABCD ? Updated on: 14 Sep 2012, 03:08
Originally posted by fameatop on 13 Sep 2012, 14:40.
Last edited by fameatop on 14 Sep 2012, 03:08, edited 1 time in total.
Kudos
Add Kudos
Bookmarks
Bookmark this Post
carcass
What is the area of square ABCD ?

(1) The length of the side of square ABCD is 2.

(2) For square EFGH, which has sides that are 6 longer than those of square ABCD, the ratio of the perimeter to the area is the reciprocal of the corresponding ratio for square ABCD.


I do not have OA.

1) is clearly suff
2) P/A -----> (6x*4)/6x^2 ---> .............. help

:)
Show more

Answer is D
Statement 2
Lets say the side of square ABCD is x & side of square EFGH is x+6
Ratio of Perimeter to area of Square EFGH= Ratio of area to the perimeter of ABCD
--->LHS = RHS
--> \(4(x+6)/(x+6)^2 = (x^2)/4x\)
--> 4/(x+6) = x/4
--> \(x^2 + 6x -16 = 0\)
Solving above equation we get x = either 2 or -8. As side can't be negative, x = 2-----Sufficient.

Answer D

Hope its clear.
User avatar
Carcass
User avatar
Board of Directors
Joined: 01 Sep 2010
Last visit: 26 Apr 2026
Posts: 4,708
Own Kudos:
37,860
Given Kudos: 4,925
Posts: 4,708
Kudos: 37,860
What is the area of square ABCD ? 13 Sep 2012, 16:30
Kudos
Add Kudos
Bookmarks
Bookmark this Post
fameatop
carcass
What is the area of square ABCD ?

(1) The length of the side of square ABCD is 2.

(2) For square EFGH, which has sides that are 6 longer than those of square ABCD, the ratio of the perimeter to the area is the reciprocal of the corresponding ratio for square ABCD.


I do not have OA.

1) is clearly suff
2) P/A -----> (6x*4)/6x^2 ---> .............. help

:)

Answer is D
Statement 2
Lets say the side of square ABCD is x & side of square EFGH is x+6
Ratio of Perimeter to area --> \(4(x+6)/(x+6)^2 = (x^2)/4x\)
--> 4/(x+6) = x/4
--> \(x^2 + 6x -16 = 0\)
Solving above equation we get x = either 2 or -8. As side can't be negative, x = 2-----Sufficient.

Answer D

Hope its clear.
Show more
:???

sorry can you elaborate more clear ?? ok we have P/A ---> 4(x+6)/(x+6)^2 -----> the numerator cancel out and in the denominator we have (x+6)

Then A/P is : x+6/4. How do you have a quadratic equation ??'

Thanks :)
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 26 Apr 2026
Posts: 109,859
Own Kudos:
811,429
 [1]
Given Kudos: 105,897
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: 109,859
Kudos: 811,429
 [1]
What is the area of square ABCD ? 14 Sep 2012, 04:29
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
carcass
fameatop
carcass
What is the area of square ABCD ?

(1) The length of the side of square ABCD is 2.

(2) For square EFGH, which has sides that are 6 longer than those of square ABCD, the ratio of the perimeter to the area is the reciprocal of the corresponding ratio for square ABCD.


I do not have OA.

1) is clearly suff
2) P/A -----> (6x*4)/6x^2 ---> .............. help

:)

Answer is D
Statement 2
Lets say the side of square ABCD is x & side of square EFGH is x+6
Ratio of Perimeter to area --> \(4(x+6)/(x+6)^2 = (x^2)/4x\)
--> 4/(x+6) = x/4
--> \(x^2 + 6x -16 = 0\)
Solving above equation we get x = either 2 or -8. As side can't be negative, x = 2-----Sufficient.

Answer D

Hope its clear.
:???

sorry can you elaborate more clear ?? ok we have P/A ---> 4(x+6)/(x+6)^2 -----> the numerator cancel out and in the denominator we have (x+6)

Then A/P is : x+6/4. How do you have a quadratic equation ??'

Thanks :)
Show more

The ratio of the perimeter to the area for square square EFGH is \(\frac{4(x+6)}{(x+6)^2}=\frac{4}{x+6}\);

The ratio of the area to the perimeter for square square ABCD is \(\frac{x^2}{4x}=\frac{x}{4}\);

We are told that these values are equal, so \(\frac{4}{x+6}=\frac{x}{4}\). Cross-multiply: \(16=x(x+6)\) --> \(x^2+6x-16=0\) --> \(x=2\) or \(x=-8\).

Hope it helps.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,991
Own Kudos:
1,118
Posts: 38,991
Kudos: 1,118
What is the area of square ABCD ? 19 Apr 2023, 04:53
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109859 posts
kingbucky
498 posts
Gmat860sanskar
212 posts