Last visit was: 20 Nov 2025, 04:13 It is currently 20 Nov 2025, 04:13
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: 20 Nov 2025
Posts: 105,410
Own Kudos:
778,476
 [6]
Given Kudos: 99,987
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: 105,410
Kudos: 778,476
 [6]
The perimeter of a rectangular garden is 360 feet. What is the length 26 Jan 2014, 10:46
Kudos
Add Kudos
6
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:

5% (low)

Question Stats:

89% (00:48) correct 11% (01:05) wrong based on 960 sessions

History

Date
Time
Result
Not Attempted Yet
The perimeter of a rectangular garden is 360 feet. What is the length of the garden?

(1) The length of the garden is twice the width.
(2) The difference between the length and width of the garden is 60 feet.
ShowHide Answer
Official Answer
D
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 20 Nov 2025
Posts: 105,410
Own Kudos:
778,476
Given Kudos: 99,987
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: 105,410
Kudos: 778,476
The perimeter of a rectangular garden is 360 feet. What is the length 26 Jan 2014, 10:47
Kudos
Add Kudos
Bookmarks
Bookmark this Post
SOLUTION

The perimeter of a rectangular garden is 360 feet. What is the length of the garden?

The perimeter of a rectangular garden is 360 feet: 2(L + W) = 360.

(1) The length of the garden is twice the width. L = 2W. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

(2) The difference between the length and width of the garden is 60 feet. L - W = 60. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

Answer: D.
User avatar
kinjiGC
User avatar
Joined: 03 Feb 2013
Last visit: 12 Oct 2025
Posts: 791
Own Kudos:
2,717
 [2]
Given Kudos: 567
Location: India
Concentration: Operations, Strategy
Schools: Tepper '17 (M$) W.P. Carey '17 (A$) NUS '17 (A)
GMAT 1: 760 Q49 V44
GPA: 3.88
WE:Engineering (Computer Software)
Products:
My Reviews
Schools: Tepper '17 (M$) W.P. Carey '17 (A$) NUS '17 (A)
GMAT 1: 760 Q49 V44
Posts: 791
Kudos: 2,717
 [2]
The perimeter of a rectangular garden is 360 feet. What is the length 26 Jan 2014, 11:37
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
The Official Guide For GMAT® Quantitative Review, 2ND Edition

The perimeter of a rectangular garden is 360 feet. What is the length of the garden?

(1) The length of the garden is twice the width.
(2) The difference between the length and width of the garden is 60 feet.

Show more

If Length = L and Breadth = B
Then 2(L + B) = 360
=> L+B = 180

Statement 1) L = 2B
Substituting in the above equation, 3B = 180. I can determine B and subsequently A. Hence Sufficient.

Statement 2) L-B = 60
Solving with the premise equation, we can determine the length. Hence Sufficient.

Hence Option D)
avatar
AKG1593
avatar
Joined: 20 Dec 2013
Last visit: 30 Mar 2024
Posts: 182
Own Kudos:
324
 [1]
Given Kudos: 35
Location: India
Posts: 182
Kudos: 324
 [1]
The perimeter of a rectangular garden is 360 feet. What is the length 26 Jan 2014, 23:47
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Perimeter=2(l+b)=360
l+b=180 (1)
From S1:l=2b=>Replacing b in (1),we can calculate length of rect.Sufficient

From S2:l-b=60.We get 2 equations which can be solved ot get length.
This is also sufficient.

Ans.D
User avatar
Cosmas
User avatar
Joined: 10 Apr 2012
Last visit: 20 Sep 2016
Posts: 31
Own Kudos:
51
 [1]
Given Kudos: 13
Concentration: Finance
Schools: Goizueta '19 (I)
WE:Analyst (Commercial Banking)
Products:
My Reviews
Schools: Goizueta '19 (I)
Posts: 31
Kudos: 51
 [1]
The perimeter of a rectangular garden is 360 feet. What is the length 27 Jan 2014, 07:15
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let l be the length and w be the width.
From the question stem, we derive the foll equation: 2l+2w=360

Going to the statements:
(1) from this statement, we can deduce that l=2w. by substitution, we can solve the equation for l and w above (statement 1 is sufficient)
(2) from this statement, we can deduce the foll equation, l-w=60. by substitution, we can solve the equation in the question stem. (statement 2 is sufficient)

Answer is therefore D
avatar
guimooow
avatar
Joined: 13 Dec 2013
Last visit: 18 Mar 2014
Posts: 4
Own Kudos:
6
 [2]
Given Kudos: 26
Posts: 4
Kudos: 6
 [2]
The perimeter of a rectangular garden is 360 feet. What is the length 29 Jan 2014, 09:22
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let the rectancle sides be X (the short one) and Y (the longer one).

After reading the information we can say that 2X+2Y = 360. Hence we already have one equation and we only need another one to solve the problem.

1) Y = 2X We have enough equations to solve the system and find the incognites.

2) Y-X = 60 We have enough equations to solve the system and find the incognites.

Hence answer is C.
User avatar
prabhakarsharma
User avatar
Joined: 03 Jun 2013
Last visit: 26 Nov 2014
Posts: 16
Own Kudos:
5
 [1]
Given Kudos: 23
Schools: ISB '15 IIM A '15 Great Lakes '15
Products:
My Reviews
Schools: ISB '15 IIM A '15 Great Lakes '15
Posts: 16
Kudos: 5
 [1]
The perimeter of a rectangular garden is 360 feet. What is the length 02 Sep 2014, 00:50
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
SOLUTION

The perimeter of a rectangular garden is 360 feet. What is the length of the garden?

The perimeter of a rectangular garden is 360 feet: 2(L + W) = 360.

(1) The length of the garden is twice the width. L = 2W. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

(2) The difference between the length and width of the garden is 60 feet. L - W = 60. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

Answer: D.
Show more

Hi Bunuel,

I have a query.

According to me the answer should be A. given below is my reasoning.

Statement 1 is sufficient there is no doubt in that.

In statement 2, its given that difference between length and width is 60 feet.

Which means : |L-W| = 60. (Thats where my query is. Why we are assuming that length is greater that width)

So statement 2 is insufficient , hence my answer A.

Please let me know where did i go wrong.

Thanks
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 20 Nov 2025
Posts: 105,410
Own Kudos:
778,476
 [2]
Given Kudos: 99,987
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: 105,410
Kudos: 778,476
 [2]
The perimeter of a rectangular garden is 360 feet. What is the length 02 Sep 2014, 03:36
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
prabhakarsharma
Bunuel
SOLUTION

The perimeter of a rectangular garden is 360 feet. What is the length of the garden?

The perimeter of a rectangular garden is 360 feet: 2(L + W) = 360.

(1) The length of the garden is twice the width. L = 2W. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

(2) The difference between the length and width of the garden is 60 feet. L - W = 60. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

Answer: D.

Hi Bunuel,

I have a query.

According to me the answer should be A. given below is my reasoning.

Statement 1 is sufficient there is no doubt in that.

In statement 2, its given that difference between length and width is 60 feet.

Which means : |L-W| = 60. (Thats where my query is. Why we are assuming that length is greater that width)

So statement 2 is insufficient , hence my answer A.

Please let me know where did i go wrong.

Thanks
Show more

The point is that the length of a rectangle is the measure of its longest side. So, the length is never smaller than the width.
User avatar
prabhakarsharma
User avatar
Joined: 03 Jun 2013
Last visit: 26 Nov 2014
Posts: 16
Own Kudos:
5
Given Kudos: 23
Schools: ISB '15 IIM A '15 Great Lakes '15
Products:
My Reviews
Schools: ISB '15 IIM A '15 Great Lakes '15
Posts: 16
Kudos: 5
The perimeter of a rectangular garden is 360 feet. What is the length 02 Sep 2014, 04:49
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
prabhakarsharma
Bunuel
SOLUTION

The perimeter of a rectangular garden is 360 feet. What is the length of the garden?

The perimeter of a rectangular garden is 360 feet: 2(L + W) = 360.

(1) The length of the garden is twice the width. L = 2W. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

(2) The difference between the length and width of the garden is 60 feet. L - W = 60. We have two distinct linear equations with two unknowns. We can solve for both. Sufficient.

Answer: D.

Hi Bunuel,

I have a query.

According to me the answer should be A. given below is my reasoning.

Statement 1 is sufficient there is no doubt in that.

In statement 2, its given that difference between length and width is 60 feet.

Which means : |L-W| = 60. (Thats where my query is. Why we are assuming that length is greater that width)

So statement 2 is insufficient , hence my answer A.

Please let me know where did i go wrong.

Thanks

The point is that the length of a rectangle is the measure of its longest side. So, the length is never smaller than the width.
Show more


Thanks B,

but can you please let me know your reference for this assumption.

AFAIK no such property is associated with rectangle. I have also not seen any mention of such property in any of my reference books.

Thanks again.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 20 Nov 2025
Posts: 105,410
Own Kudos:
778,476
Given Kudos: 99,987
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: 105,410
Kudos: 778,476
The perimeter of a rectangular garden is 360 feet. What is the length 02 Sep 2014, 04:52
Kudos
Add Kudos
Bookmarks
Bookmark this Post
prabhakarsharma
Bunuel
prabhakarsharma


Hi Bunuel,

I have a query.

According to me the answer should be A. given below is my reasoning.

Statement 1 is sufficient there is no doubt in that.

In statement 2, its given that difference between length and width is 60 feet.

Which means : |L-W| = 60. (Thats where my query is. Why we are assuming that length is greater that width)

So statement 2 is insufficient , hence my answer A.

Please let me know where did i go wrong.

Thanks

The point is that the length of a rectangle is the measure of its longest side. So, the length is never smaller than the width.


Thanks B,

but can you please let me know your reference for this assumption.

AFAIK no such property is associated with rectangle. I have also not seen any mention of such property in any of my reference books.

Thanks again.
Show more

Check here: https://mathworld.wolfram.com/Length.html
User avatar
iPen
User avatar
Joined: 08 Jun 2015
Last visit: 20 Dec 2020
Posts: 83
Own Kudos:
109
Given Kudos: 40
Posts: 83
Kudos: 109
The perimeter of a rectangular garden is 360 feet. What is the length 08 Jun 2015, 14:11
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I'm contesting the answer given by the Official Guide to GMAT Quantitative Review 2015, specifically, #60 (pg. 157) in the Data Sufficiency section. For those of you who do not have this book, here is the question:

60. The perimeter of a rectangular garden is 360 feet. What is the length of the garden?

(1) The length of the garden is twice the width.

(2) The difference between the length and width of the garden is 60 feet.


Easy enough of a question, right?

The book says that both (1) and (2) is sufficient, so the multiple choice answer is D, but I argue that only (1) is sufficient so the answer should be A.

I know exactly how to get the answer for both 1 and 2, but 2 is ambiguous. The difference between the length and width of the garden isn't necessarily saying l - w = 60 feet. If the width of the garden is longer, colloquially speaking, you can still state that the difference between the length and width is 60 feet - you wouldn't say the difference is negative 60 feet. So, you wouldn't actually know if the length is longer than the width.

Is there a GMAT rule where you literally translate the order of a sentence into its math sequence, always?

Thanks in advance!
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 20 Nov 2025
Posts: 105,410
Own Kudos:
778,476
Given Kudos: 99,987
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: 105,410
Kudos: 778,476
The perimeter of a rectangular garden is 360 feet. What is the length 08 Jun 2015, 14:14
Kudos
Add Kudos
Bookmarks
Bookmark this Post
iPen
I'm contesting the answer given by the Official Guide to GMAT Quantitative Review 2015, specifically, #60 (pg. 157) in the Data Sufficiency section. For those of you who do not have this book, here is the question:

60. The perimeter of a rectangular garden is 360 feet. What is the length of the garden?

(1) The length of the garden is twice the width.

(2) The difference between the length and width of the garden is 60 feet.


Easy enough of a question, right?

The book says that both (1) and (2) is sufficient, so the multiple choice answer is D, but I argue that only (1) is sufficient so the answer should be A.

I know exactly how to get the answer for both 1 and 2, but 2 is ambiguous. The difference between the length and width of the garden isn't necessarily saying l - w = 60 feet. If the width of the garden is longer, colloquially speaking, you can still state that the difference between the length and width is 60 feet - you wouldn't say the difference is negative 60 feet. So, you wouldn't actually know if the length is longer than the width.

Is there a GMAT rule where you literally translate the order of a sentence into its math sequence, always?

Thanks in advance!
Show more

Check here: the-perimeter-of-a-rectangular-garden-is-360-feet-what-is-t-166669.html#p1405337
User avatar
iPen
User avatar
Joined: 08 Jun 2015
Last visit: 20 Dec 2020
Posts: 83
Own Kudos:
109
Given Kudos: 40
Posts: 83
Kudos: 109
The perimeter of a rectangular garden is 360 feet. What is the length 08 Jun 2015, 14:24
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I can understand the convention of taking the length to be longer than a width for non-square rectangles. However, one example I found on the 'net...

If you were to buy a blind for a window, the length of the blind would correspond to the drop from top to bottom of the window, and the width of the blind would correspond to the distance from side to side. If the window was a short, wide window the width of the blind would be longer than its length!

With that example above, you shouldn't order a blind where it's wider than it is tall, and expect the blind supplier to send you a wide blind without specifying the dimensions further (e.g. using height instead, but the point still remains). The supplier will probably send you a tall, skinny blind to go with your wide, short window.

Conversely, if someone said that the difference between the width and the length is 60 feet, would you assume w - l = 60, or that the absolute value is 60?
Anyway, for all intents and purposes, the GMAT seems to accept the definition that length is greater than width for all non-square rectangles, so I'll stick to that.
User avatar
ENGRTOMBA2018
User avatar
Joined: 20 Mar 2014
Last visit: 01 Dec 2021
Posts: 2,325
Own Kudos:
3,837
 [1]
Given Kudos: 816
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
Products:
My Reviews
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
Posts: 2,325
Kudos: 3,837
 [1]
The perimeter of a rectangular garden is 360 feet. What is the length 08 Jun 2015, 15:48
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
iPen
I'm contesting the answer given by the Official Guide to GMAT Quantitative Review 2015, specifically, #60 (pg. 157) in the Data Sufficiency section. For those of you who do not have this book, here is the question:

60. The perimeter of a rectangular garden is 360 feet. What is the length of the garden?

(1) The length of the garden is twice the width.

(2) The difference between the length and width of the garden is 60 feet.


Easy enough of a question, right?

The book says that both (1) and (2) is sufficient, so the multiple choice answer is D, but I argue that only (1) is sufficient so the answer should be A.

I know exactly how to get the answer for both 1 and 2, but 2 is ambiguous. The difference between the length and width of the garden isn't necessarily saying l - w = 60 feet. If the width of the garden is longer, colloquially speaking, you can still state that the difference between the length and width is 60 feet - you wouldn't say the difference is negative 60 feet. So, you wouldn't actually know if the length is longer than the width.

Is there a GMAT rule where you literally translate the order of a sentence into its math sequence, always?

Thanks in advance!
Show more

per merriam webster: length: the longer or longest dimension of an object So technically L>W and thus statement 2 is sufficient. Also, note that GMAT is GMAC's playground and so you will have to play by their rules!

https://www.merriam-webster.com/dictionary/length
User avatar
MathRevolution
User avatar
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Last visit: 27 Sep 2022
Posts: 10,070
Own Kudos:
19,394
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Expert
Expert reply
GMAT 1: 760 Q51 V42
Posts: 10,070
Kudos: 19,394
The perimeter of a rectangular garden is 360 feet. What is the length 06 Jul 2017, 20:11
Kudos
Add Kudos
Bookmarks
Bookmark this Post
niheil
The perimeter of a rectangular garden is 360 feet. What is the length of the garden?

(1) The length of the garden is twice the width.
(2) The difference between the length and width of the garden is 60 feet.

Show more

Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

Let l and w be the length and the width of the rectangular garden, respectively.
From the original condition of the question, we have \(2(l+w) = 360\) or \(l + w = 180\).
There are 2 variables and 1 equation. Thus D is the answer most likely.

Condition 1) \(l = 2w\)
\(l + w = 2w + w = 3w = 180\) or \(w = 60\).
Thus \(l = 120\).
It is sufficient.

Condition 2) \(l - w = 60\), since the length is the longest side of a rectangle.
When we add two equations, \(l + w = 180\) and \(l - w = 60\), we have \(2l = 240\) or \(l = 120\).
It is sufficient.

Therefore the answer is D.

For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,597
Own Kudos:
1,079
Posts: 38,597
Kudos: 1,079
The perimeter of a rectangular garden is 360 feet. What is the length 19 Jul 2023, 20:01
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderators:
Bunuel
Math Expert
105409 posts
kingbucky
496 posts