It is currently 22 Nov 2017, 19:15

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Intern
Joined: 06 Oct 2010
Posts: 39

Kudos [?]: 24 [1], given: 29

The perimeter of a rectangular garden is 360 feet. What is [#permalink]

### Show Tags

09 Nov 2010, 13:09
1
KUDOS
1
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

84% (00:36) correct 16% (00:44) wrong based on 223 sessions

### HideShow timer Statistics

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.

[Reveal] Spoiler:
I agree that (1) is sufficient, but I don't think (2) is sufficient. (2) can be interpreted as l - w = 60 or w - l = 60. Solving the two equations (one of these two equations and 2w + 2l = 360) will yield different answers for the value of w and l.
[Reveal] Spoiler: OA

Kudos [?]: 24 [1], given: 29

Intern
Joined: 18 Aug 2009
Posts: 36

Kudos [?]: 15 [1], given: 4

Location: United States
Concentration: Finance, Entrepreneurship
GMAT 1: 740 Q49 V42
GPA: 3.29
WE: Engineering (Consulting)

### Show Tags

09 Nov 2010, 13:47
1
KUDOS
I usually assume length is greater than width. But, I guess width can be greater than the length unless stated otherwise. But in GMAT I am pretty sure that statement 1 and 2 can't lead to contradicting answers so l - w = 60 is what needs to be used.

Also the phrase difference between "a" and "b"
usually translates into "a" - "b".

Can someone else confirm this?

Kudos [?]: 15 [1], given: 4

Retired Moderator
Joined: 02 Sep 2010
Posts: 793

Kudos [?]: 1211 [1], given: 25

Location: London

### Show Tags

09 Nov 2010, 15:10
1
KUDOS
The question is slightly badly worded.

Length & width are inter changable terms, there is no reason to believe that length is always greater than width. This is why the question seems to have a bit of ambiguity around it. You will not find such ambiguity on real GMAT questions
_________________

Kudos [?]: 1211 [1], given: 25

Manager
Joined: 03 Jan 2015
Posts: 86

Kudos [?]: 61 [1], given: 146

Re: The perimeter of a rectangular garden is 360 feet. What is [#permalink]

### Show Tags

11 Feb 2016, 07:14
1
KUDOS
A perimeter can be defined by $$l + l + w + w$$ ---> $$2(l + w)$$
The perimeter of the rectangular garden is 30 feet. Therefore, $$2(l + w) = 360$$

(1) The length of the garden is twice the width.
$$l = 2w$$. ---> $$2(2w + w) = 360$$. Sufficient.

(2) The difference between the length and width of the garden is 60 feet.
$$l - w = 60$$ ---> $$l = 60 + w$$ ---> $$2(60 + w + w) = 360$$. Sufficient

Both statements are sufficient.

Kudos [?]: 61 [1], given: 146

Intern
Joined: 18 Aug 2009
Posts: 36

Kudos [?]: 15 [0], given: 4

Location: United States
Concentration: Finance, Entrepreneurship
GMAT 1: 740 Q49 V42
GPA: 3.29
WE: Engineering (Consulting)

### Show Tags

09 Nov 2010, 13:15
niheil wrote:
I think the official answer is wrong. What do you think?

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.

[Reveal] Spoiler:
I agree that (1) is sufficient, but I don't think (2) is sufficient. (2) can be interpreted as l - w = 60 or w - l = 60. Solving the two equations (one of these two equations and 2w + 2l = 360) will yield different answers for the value of w and l.

l - w = 60 is not the same as w - l = 60.

l - w = 60 is the same as w - l = -60

Kudos [?]: 15 [0], given: 4

Intern
Joined: 06 Oct 2010
Posts: 39

Kudos [?]: 24 [0], given: 29

### Show Tags

09 Nov 2010, 13:34
I guess my question is does the phrase, "the difference between the length and width of the garden is 60 feet", only mean that l - w = 60 or can it also be interpreted to mean that w - l = 60?

Kudos [?]: 24 [0], given: 29

Intern
Joined: 06 Oct 2010
Posts: 39

Kudos [?]: 24 [0], given: 29

### Show Tags

09 Nov 2010, 13:51
chaoswithin, I think that statements (1) and (2) of a Data Sufficiency question could lead to contradicting answers. I've never read anything that led me to believe otherwise.

My question is the same as chaoswithin's. Could someone please confirm?

Kudos [?]: 24 [0], given: 29

Intern
Joined: 06 Oct 2010
Posts: 39

Kudos [?]: 24 [0], given: 29

### Show Tags

09 Nov 2010, 21:38
Thanks for your input, shrouded1 and chaoswithin. However, this question was in the GMAT Quantitative Review book, which is composed of past GMAT questions.

Kudos [?]: 24 [0], given: 29

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7745

Kudos [?]: 17853 [0], given: 235

Location: Pune, India

### Show Tags

11 Nov 2010, 12:43
niheil wrote:
Thanks for your input, shrouded1 and chaoswithin. However, this question was in the GMAT Quantitative Review book, which is composed of past GMAT questions.

A couple of things -
1. Difference between two numbers means absolute value of negation. Difference is always positive. If difference between a and b is 20, we cannot say which one of them is greater.
2. Length need not be greater than Width. Either side can be called the length.

It is rather unfortunate that the said question appears in an Official GMAT book. Official books have retired questions of GMAT. If it was active at some time, it must have been a long time back. The experimental questions and continual monitoring of statistics on correct/incorrect by user ability level get rid of a problem such as that quickly. The purpose of these questions is to separate candidates based on ability level, and if a problem includes an arbitrary definition then the statistical analysis will throw it out – GMAC watches those stats religiously.

Finally, don't worry about the solution of that question. Difference is always absolute value. In case there are different views on that, GMAC will not test you on it.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for \$199

Veritas Prep Reviews

Kudos [?]: 17853 [0], given: 235

GMAT Tutor
Joined: 24 Jun 2008
Posts: 1344

Kudos [?]: 2010 [0], given: 6

### Show Tags

14 Nov 2010, 20:20
There's nothing wrong with the wording of the question. The 'length' of a rectangle is the measure of its longest side:

http://mathworld.wolfram.com/Length.html

The length is never smaller than the width.
_________________

GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com

Kudos [?]: 2010 [0], given: 6

Manager
Joined: 13 Jul 2010
Posts: 162

Kudos [?]: 97 [0], given: 7

### Show Tags

15 Nov 2010, 19:53
chaoswithin wrote:
I usually assume length is greater than width. But, I guess width can be greater than the length unless stated otherwise. But in GMAT I am pretty sure that statement 1 and 2 can't lead to contradicting answers so l - w = 60 is what needs to be used.

Also the phrase difference between "a" and "b"
usually translates into "a" - "b".

Can someone else confirm this?

It is wrong to awesome that length is always larger than width. Also for me the wording "the difference between the length and the width" translates to L-W=60. I didn't find the wording to be ambiguous.

Kudos [?]: 97 [0], given: 7

Manager
Joined: 01 Apr 2010
Posts: 164

Kudos [?]: 17 [0], given: 6

### Show Tags

16 Nov 2010, 06:10
the 2nd statement is straight forward for me too... l-b= 60.

Kudos [?]: 17 [0], given: 6

Intern
Joined: 15 Apr 2010
Posts: 48

Kudos [?]: 33 [0], given: 11

### Show Tags

08 Nov 2012, 01:30
gettinit wrote:
chaoswithin wrote:
I usually assume length is greater than width. But, I guess width can be greater than the length unless stated otherwise. But in GMAT I am pretty sure that statement 1 and 2 can't lead to contradicting answers so l - w = 60 is what needs to be used.

Also the phrase difference between "a" and "b"
usually translates into "a" - "b".

Can someone else confirm this?

It is wrong to awesome that length is always larger than width. Also for me the wording "the difference between the length and the width" translates to L-W=60. I didn't find the wording to be ambiguous.

I too got wrong answer on this one because I always use |l - w| to be the difference between length and width. In GMAT, you CANNOT assume anything unless stated. I agree that this question is very badly worded, just like the Q55 in OG Quant Review 2nd edition (machine filled order BY 10:30 - full discussion here on-monday-morning-a-certain-machine-ran-continuously-at-a-57810.html)

Now if you don't see any ambiguity, consider this: this difference between 4 and 6 is 2, and the difference between 6 and 4 is 2 too. So, it's |6 - 4| = |4 - 6| = 2. On the number line, 4 is 2 units away from 6, and 6 is 2 units away from 4.

Therefore this question should be understood that |l - w| = 60. When considering statement 2, I don't (and shouldn't) care about statement 1.

Kudos [?]: 33 [0], given: 11

Senior Manager
Joined: 22 Nov 2016
Posts: 251

Kudos [?]: 60 [0], given: 42

Location: United States
GPA: 3.4
Re: The perimeter of a rectangular garden is 360 feet. What is [#permalink]

### Show Tags

05 Jul 2017, 19:37
We know L*W=180
Statement 1) Gives relationship between L and W.........Sufficient
Statement 2) Gives relationship between L and W.........Sufficient

_________________

Kudosity killed the cat but your kudos can save it.

Kudos [?]: 60 [0], given: 42

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4344

Kudos [?]: 3056 [0], given: 0

GPA: 3.82
Re: The perimeter of a rectangular garden is 360 feet. What is [#permalink]

### Show Tags

06 Jul 2017, 20:11
niheil wrote:
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.

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.

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.
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself

Kudos [?]: 3056 [0], given: 0

Re: The perimeter of a rectangular garden is 360 feet. What is   [#permalink] 06 Jul 2017, 20:11
Display posts from previous: Sort by