A rectangular piece of cloth 2 feet wide was cut lengthwise : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 18 Jan 2017, 08:30

### 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

# A rectangular piece of cloth 2 feet wide was cut lengthwise

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 18 Jun 2010
Posts: 302
Schools: Chicago Booth Class of 2013
Followers: 26

Kudos [?]: 220 [1] , given: 194

A rectangular piece of cloth 2 feet wide was cut lengthwise [#permalink]

### Show Tags

20 Nov 2010, 23:47
1
KUDOS
1
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

57% (02:38) correct 43% (01:33) wrong based on 100 sessions

### HideShow timer Statistics

A rectangular piece of cloth 2 feet wide was cut lengthwise into two smaller rectangular pieces. The shorter piece was one-third the length of the longer of the 2 new pieces and had an area of 12 square feet. What was the length in feet of the original piece of cloth before cutting?

A. 6
B. 18
C. 24
D. 36
E. 48

[Reveal] Spoiler: OA

Last edited by Bunuel on 14 Nov 2013, 07:14, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
Forum Moderator
Status: mission completed!
Joined: 02 Jul 2009
Posts: 1426
GPA: 3.77
Followers: 180

Kudos [?]: 853 [2] , given: 621

### Show Tags

21 Nov 2010, 00:03
2
KUDOS
Second sentence is terrible, how could it be "the shorter part......" if there is a rectangle cut lengthwise, so both parts must have the same length.
_________________

Audaces fortuna juvat!

GMAT Club Premium Membership - big benefits and savings

Senior Manager
Joined: 20 Apr 2010
Posts: 250
WE 1: 4.6 years Exp IT prof
Followers: 8

Kudos [?]: 25 [0], given: 51

### Show Tags

22 Nov 2010, 13:25
the rectangular cut lengthwise here suggests that the length is divided and the breadth remains the same
_________________

I will give a Fight till the End

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."
- Bernard Edmonds

A person who is afraid of Failure can never succeed -- Amneet Padda

Don't Forget to give the KUDOS

Intern
Joined: 17 Aug 2009
Posts: 41
Location: United States
Concentration: Finance, Entrepreneurship
GMAT 1: 740 Q49 V42
GPA: 3.29
WE: Engineering (Consulting)
Followers: 0

Kudos [?]: 13 [0], given: 4

### Show Tags

22 Nov 2010, 15:24
the rectangular cut lengthwise here suggests that the length is divided and the breadth remains the same

I'm getting an answer = 24.

Given: original rect has dimensions 2 by L

Its not cut so there is two smaller rect. with one being bigger than the other.

so dimensions are:

rect_big = 2 by L_b
rect_small = 2 by (1/3) L_b

A_small = 12. therefore L_b = 18.

so L = L_b + (1/3) L_b = (4/3) L_b = 24.
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7121
Location: Pune, India
Followers: 2133

Kudos [?]: 13638 [4] , given: 222

### Show Tags

22 Nov 2010, 18:14
4
KUDOS
Expert's post
1
This post was
BOOKMARKED
Financier wrote:
Guys,

Could you translate this task into human language?
The task is simple, but wording is terrible.

A rectangular piece 2 feet wide was cut lengthwise into two pieces. This means the width of the two pieces is still 2 feet each. The total length has got split into two parts. The smaller part has area 12 sq feet so its length must be 6 feet. Since this is 1/3rd of the length of the bigger piece, the length of the bigger piece must be 3 * 6 = 18 feet.
Hence total original length must be 6 + 18 = 24 feet.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Manager Joined: 16 Jul 2010 Posts: 161 Followers: 3 Kudos [?]: 12 [0], given: 0 Re: Wording / Geometry [#permalink] ### Show Tags 23 Nov 2010, 20:55 VeritasPrepKarishma wrote: Financier wrote: Guys, Could you translate this task into human language? The task is simple, but wording is terrible. A rectangular piece 2 feet wide was cut lengthwise into two pieces. This means the width of the two pieces is still 2 feet each. The total length has got split into two parts. The smaller part has area 12 sq feet so its length must be 6 feet. Since this is 1/3rd of the length of the bigger piece, the length of the bigger piece must be 3 * 6 = 18 feet. Hence total original length must be 6 + 18 = 24 feet. Don't you mean that since L/3 = 6, therefore total length, L = 18? Intern Joined: 25 Nov 2009 Posts: 46 Location: India Followers: 3 Kudos [?]: 4 [0], given: 8 Re: Wording / Geometry [#permalink] ### Show Tags 23 Nov 2010, 21:11 good one, getting pass the awkward wording is the butt of the question. calc are very simple. _________________ When going gets tough, tough gets going......... Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 7121 Location: Pune, India Followers: 2133 Kudos [?]: 13638 [0], given: 222 Re: Wording / Geometry [#permalink] ### Show Tags 24 Nov 2010, 04:43 Werewolf wrote: Don't you mean that since L/3 = 6, therefore total length, L = 18? Consider this: The question says, "Length of shorter piece is 1/3rd the length of longer of the two new pieces" This means after I split it into two pieces, I have a shorter piece and a longer one. The length of shorter is 1/3rd the length of longer. The 6 I found out was length of shorter piece. Then length of longer should be 18 and total length should be 24. Had it been the other way, the questions would have said "The length of shorter piece is 1/3rd the total length." _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

Veritas Prep Reviews

Manager
Joined: 16 Jul 2010
Posts: 161
Followers: 3

Kudos [?]: 12 [0], given: 0

### Show Tags

24 Nov 2010, 07:38
VeritasPrepKarishma wrote:
Werewolf wrote:

Don't you mean that since L/3 = 6, therefore total length, L = 18?

Consider this:
The question says, "Length of shorter piece is 1/3rd the length of longer of the two new pieces"
This means after I split it into two pieces, I have a shorter piece and a longer one. The length of shorter is 1/3rd the length of longer. The 6 I found out was length of shorter piece. Then length of longer should be 18 and total length should be 24.

Had it been the other way, the questions would have said "The length of shorter piece is 1/3rd the total length."

Thanks for the explanation Karishma. I misunderstood the language of the question. My apologies!!
Senior Manager
Joined: 25 May 2010
Posts: 321
Location: United States
Concentration: Strategy, Finance
Schools: CBS '14 (A)
GMAT 1: 590 Q47 V25
GMAT 2: 560 Q47 V20
GMAT 3: 600 Q47 V25
GMAT 4: 680 Q49 V34
Followers: 6

Kudos [?]: 57 [0], given: 32

### Show Tags

24 Nov 2010, 07:51
I agree with @ VeritasPrepKarishma.
I got 24 too. I've learnt one thing from NOVA GMAT Prep book. For any hard problems, always remove answer choices which are result of elementary operation( like +,-,/ and*) on numbers mentioned in the question. It won't be a hard problem if answer can be reached using simple elementary operations.

(L/3)*2=12
=> L=18
So we can remove B option.

VeritasPrepKarishma explained the solution correctly.
_________________

"Whether You Think You Can or Can't, You're Right"--Henry Ford
680 Debrief
600 Debrief
590 Debrief
My GMAT Journey

Manager
Joined: 07 May 2013
Posts: 109
Followers: 0

Kudos [?]: 24 [0], given: 1

### Show Tags

14 Nov 2013, 04:31
Firstly, understand that length "shorter piece=1/3*longer piece". Therefore if shorter piece is say 'x' then longer piece is '3x'. Total length is x+3x=4x. Answer must be a multiple of 4. So, answer choices A and B are eliminated. Secondly he says that area of shorter piece is 12. Shorter piece represents 1/4 of total length. Now start with option C. Length of shorter piece=24/4=6. So, area of shorter piece is 2(given width)*6=12. This matches with the info given in the question and hence C. Is the answer.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13436
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: A rectangular piece of cloth 2 feet wide was cut lengthwise [#permalink]

### Show Tags

11 May 2016, 11:28
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: A rectangular piece of cloth 2 feet wide was cut lengthwise   [#permalink] 11 May 2016, 11:28
Similar topics Replies Last post
Similar
Topics:
A rectangular rug with side lengths of 2 feet and 6 feet is placed on 3 12 Sep 2016, 23:16
2 A board of length L feet is cut into two pieces such that the length 6 03 Dec 2015, 05:28
7 A tailor trims 4 feet form opposite edges of a square piece of cloth 3 18 Nov 2015, 22:50
1 A rope 40 feet long is cut into two pieces. If one piece is 14 26 Aug 2012, 02:05
A square garden is surrounded by a 2 feet wide walkway on 2 26 Jul 2012, 04:34
Display posts from previous: Sort by