GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Jul 2018, 08:17

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

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

The perimeter of a rectangular garden is 360 feet. What is t

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 47110
The perimeter of a rectangular garden is 360 feet. What is t [#permalink]

Show Tags

26 Jan 2014, 10:46
00:00

Difficulty:

5% (low)

Question Stats:

85% (00:36) correct 15% (00:44) wrong based on 555 sessions

HideShow timer Statistics

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.

Data Sufficiency
Question: 60
Category: Geometry; Algebra Perimeter; Simultaneous Equations
Page: 157
Difficulty: 600

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 47110
Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]

Show Tags

26 Jan 2014, 10:47
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.

_________________
Director
Joined: 03 Feb 2013
Posts: 905
Location: India
Concentration: Operations, Strategy
GMAT 1: 760 Q49 V44
GPA: 3.88
WE: Engineering (Computer Software)
Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]

Show Tags

26 Jan 2014, 11:37
2
Bunuel wrote:
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.

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)
_________________

Thanks,
Kinjal

My Application Experience : http://gmatclub.com/forum/hardwork-never-gets-unrewarded-for-ever-189267-40.html#p1516961

Manager
Joined: 20 Dec 2013
Posts: 249
Location: India
Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]

Show Tags

26 Jan 2014, 23:47
1
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
Intern
Joined: 10 Apr 2012
Posts: 44
Concentration: Finance
Schools: Goizueta '19 (I)
WE: Analyst (Commercial Banking)
Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]

Show Tags

27 Jan 2014, 07:15
1
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)

Intern
Joined: 13 Dec 2013
Posts: 5
Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]

Show Tags

29 Jan 2014, 09:22
2
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.

Intern
Joined: 03 Jun 2013
Posts: 26
Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]

Show Tags

02 Sep 2014, 00:50
1
Bunuel wrote:
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.

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
Math Expert
Joined: 02 Sep 2009
Posts: 47110
Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]

Show Tags

02 Sep 2014, 03:36
prabhakarsharma wrote:
Bunuel wrote:
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.

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.
_________________
Intern
Joined: 03 Jun 2013
Posts: 26
Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]

Show Tags

02 Sep 2014, 04:49
Bunuel wrote:
prabhakarsharma wrote:
Bunuel wrote:
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.

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.
Math Expert
Joined: 02 Sep 2009
Posts: 47110
Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]

Show Tags

02 Sep 2014, 04:52
prabhakarsharma wrote:
Bunuel wrote:
prabhakarsharma wrote:

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.

Check here: http://mathworld.wolfram.com/Length.html
_________________
Manager
Joined: 08 Jun 2015
Posts: 114
Official Guide to GMAT Quantitative Review 2015 - Data Sufficiency #60 [#permalink]

Show Tags

08 Jun 2015, 14:11
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?

Math Expert
Joined: 02 Sep 2009
Posts: 47110
Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]

Show Tags

08 Jun 2015, 14:14
iPen wrote:
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?

Check here: the-perimeter-of-a-rectangular-garden-is-360-feet-what-is-t-166669.html#p1405337
_________________
Manager
Joined: 08 Jun 2015
Posts: 114
The perimeter of a rectangular garden is 360 feet. What is t [#permalink]

Show Tags

08 Jun 2015, 14:24
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.
Current Student
Joined: 20 Mar 2014
Posts: 2641
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
The perimeter of a rectangular garden is 360 feet. What is t [#permalink]

Show Tags

08 Jun 2015, 15:48
1
iPen wrote:
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?

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!

http://www.merriam-webster.com/dictionary/length
Non-Human User
Joined: 09 Sep 2013
Posts: 7300
Re: The perimeter of a rectangular garden is 360 feet. What is t [#permalink]

Show Tags

24 Aug 2017, 17:50
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.
_________________
Re: The perimeter of a rectangular garden is 360 feet. What is t   [#permalink] 24 Aug 2017, 17:50
Display posts from previous: Sort by

Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.