Find all School-related info fast with the new School-Specific MBA Forum

It is currently 29 Apr 2016, 14:42
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

The length of a rectangular floor is twice its width. The

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

2 KUDOS received
Current Student
avatar
Joined: 28 May 2013
Posts: 2
Location: United States
Concentration: Marketing, Healthcare
Schools: Duke '17 (WA)
WE: Military Officer (Military & Defense)
Followers: 0

Kudos [?]: 20 [2] , given: 2

GMAT ToolKit User
The length of a rectangular floor is twice its width. The [#permalink]

Show Tags

New post 02 Nov 2013, 14:09
2
This post received
KUDOS
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

81% (02:07) correct 19% (01:29) wrong based on 208 sessions

HideShow timer Statictics

The length of a rectangular floor is twice its width. The floor is partially covered by a rectangular carpet whose length is the same as the lenfth of the floor and whose width is two feet less than the width of the floor. If the area of the carpet is 160 sq. feet, what is the length, in feet, of the floor?

A. 8
B. 16
C. 20
D. 24
E. 32

Got this wrong on a practice test and think I've come up with the correct answer, but cant check it since the damn software erased my test; throwing it up here on the forum, hoping someone on here can confirm or disprove what I came up with on the second shot...
[Reveal] Spoiler: OA

Last edited by Bunuel on 03 Nov 2013, 11:51, edited 1 time in total.
Edited the question and added the OA
Expert Post
1 KUDOS received
MBA Section Director
User avatar
Affiliations: GMAT Club
Joined: 22 Feb 2012
Posts: 2511
Location: India
City: Pune
GPA: 3.4
WE: Business Development (Manufacturing)
Followers: 302

Kudos [?]: 2184 [1] , given: 1753

GMAT ToolKit User Premium Member
The length of a rectangular floor is twice its width. The [#permalink]

Show Tags

New post 02 Nov 2013, 16:02
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
Jem2905 wrote:
The length of a rectangular floor is twice its width. The floor is partially covered by a rectangular carpet whose length is the same as the lenfth of the floor and whose width is two feet less than the width of the floor. If the area of the carpet is 160 sq. feet, what is the length, in feet, of the floor?

a) 8

b) 16

c) 20

d) 24

e) 32


Should be C

Dimensions of Rectangular floor
Width = w
Length = 2w

Dimensions of Carpet
Width = w-2
Length = 2w
Area = 160 sq.ft.

Area = 160 = 2w(w-2) ---------> \(160 = 2w^2 - 4w\) ---------> \(2w^2 - 4w - 160 = 0\) ---------> \(w^2 - 2w - 80 = 0\) --------> \((w-10)(w+8)=0\)

So, w=10 Hence L=20
_________________


MBA Rankings | Admission Deadlines | BSchool Adcom Chats | Applicant Status Tracker - Real Time Updates

Executive MBA | Part Time MBA | MBA Applicant Blogs | MBA Student Blogs

Impact of GMAT Score on Your Admission Chances
Special Scholarships and Fellowships Awarded at Top BSchools
Best Admissions Consulting Companies
Business School Reviews - Real and Verified
Calling all CFA (Level1) Exam Takers: June 2016

Intern
Intern
avatar
Joined: 17 Dec 2014
Posts: 11
Followers: 0

Kudos [?]: 3 [0], given: 0

Re: The length of a rectangular floor is twice its width. The [#permalink]

Show Tags

New post 19 Jan 2015, 14:51
Ah nice this is much quicker than my method. I did it like this:

L=2w area = L*w

area is here 160 = L*w but because the carpet is 2 feet less w = w-2
160=
w-2 * 2w this can be:
1 * 160 or
2 * 80 or
4 * 40 or
5 * 32 or
8 * 20 or
10 * 16

Now you see that 8 * 20 is the only option. But it takes much more time..
Intern
Intern
avatar
Joined: 17 Dec 2014
Posts: 11
Followers: 0

Kudos [?]: 3 [0], given: 0

Re: The length of a rectangular floor is twice its width. The [#permalink]

Show Tags

New post 19 Jan 2015, 14:53
Ah nice this is much quicker than my method. I did it like this:

L=2w area = L*w

area is here 160 = L*w but because the carpet is 2 feet less w = w-2
160=
w-2 * 2w this can be:
1 * 160 or
2 * 80 or
4 * 40 or
5 * 32 or
8 * 20 or
10 * 16

Now you see that 8 * 20 is the only option.
Expert Post
2 KUDOS received
EMPOWERgmat Instructor
User avatar
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 6204
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 261

Kudos [?]: 1833 [2] , given: 160

Re: The length of a rectangular floor is twice its width. The [#permalink]

Show Tags

New post 19 Jan 2015, 19:54
2
This post received
KUDOS
Expert's post
Hi All,

This question can obviously be solved with a bit of Algebra and Geometry. You can also take those basic ideas, along with the answer choices (which are numbers) and TEST THE ANSWERS....

We're given a lot of information about a floor and a carpet on top of it:

1) The Floor's length is TWICE it's width.
2) The Carpet has the SAME length as the floor, but it's width is 2 feet less than the width of the floor
3) The area of the carpet is 160 ft^2.

We're asked to find the length of the floor (which is the same as the length of the carpet).

Since the area of the carpet is a "round number", it's likely that it's dimensions are probably round numbers.

Let's TEST Answer B:

Area of carpet is 160
If length = 16, then width = 10
Since the carpet width is 2 less than the floor width, the dimensions of the floor would be...
Length = 16, width = 12.
This does NOT match (the length is supposed to be TWICE the width. Eliminate B (and A, since a length of 8 would be way too small).

Let's TEST Answer C:

Area of carpet is 160
If length = 20, then width = 8
Since the carpet width is 2 less than the floor width....
Length = 20, width = 10.
This DOES match (the length IS TWICE the width), so this MUST be the answer.

Final Answer:
[Reveal] Spoiler:
C


GMAT assassins aren't born, they're made,
Rich
_________________

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests

60-point improvement guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Manager
Manager
avatar
Joined: 11 Feb 2015
Posts: 104
Followers: 0

Kudos [?]: 8 [0], given: 58

Re: The length of a rectangular floor is twice its width. The [#permalink]

Show Tags

New post 29 Oct 2015, 03:39
Straight algebra


L=2w
L(w-2)=160
Lw -2l =160
L^2/2 -2l =160 => l^2 -4l -320=0 . so l=20 or -16. Ans :C
Manager
Manager
User avatar
Joined: 05 Jul 2015
Posts: 110
Concentration: Real Estate, International Business
GMAT 1: 600 Q33 V40
GPA: 3.3
Followers: 0

Kudos [?]: 8 [0], given: 3

Re: The length of a rectangular floor is twice its width. The [#permalink]

Show Tags

New post 21 Nov 2015, 18:25
I'm terrible at GMAT math so I always look for shortcuts...

Floor Area = 2w^2
Carpet Area = 160 which is slightly less than the floor.

So to guesstimate 2w^2=160..... w^2=80......w = around 9 ...
Length is a little bigger than 2*9....... 20 is closest answer.
Re: The length of a rectangular floor is twice its width. The   [#permalink] 21 Nov 2015, 18:25
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic The length of a rectangle is decreased by 15% and its width is increas Bunuel 2 17 Jan 2016, 10:10
4 Experts publish their posts in the topic The length of a certain rectangle is 4 inches longer than its width. Bunuel 6 10 Sep 2015, 00:27
3 Experts publish their posts in the topic The length and width of a rectangular yard are 11 meters and 5 meters Bunuel 8 20 Mar 2015, 07:23
3 Experts publish their posts in the topic If the length and width of a rectangular garden plot were ea Bunuel 6 11 Feb 2014, 00:58
Experts publish their posts in the topic The ratio of the length to the width of a rectangular advert Walkabout 4 12 Dec 2012, 10:13
Display posts from previous: Sort by

The length of a rectangular floor is twice its width. The

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.