NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 20:03 It is currently 26 Apr 2024, 20:03
Decision Tracker
My Rewards
New posts
New comers' posts

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

If x inches are cut from the length, l, of a rectangle and y inches ar

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
G
duahsolo
Manager
Manager
Joined: 02 Jun 2015
Posts: 146
Own Kudos [?]: 642 [1]
Given Kudos: 1196
Location: Ghana
Send PM
If x inches are cut from the length, l, of a rectangle and y inches ar [#permalink] New post   21 Oct 2016, 02:08
1
Bookmarks
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

66% (02:07) correct 34% (02:11) wrong based on 125 sessions
Hide Show timer Statistics
If x inches are cut from the length, l, of a rectangle and y inches are cut from the width, w, of the same rectangle, then which of the following correctly expresses the amount of the area of the original rectangle that was removed in terms of l, w, x, and y?

A) xy
B) lw – yx
C) ly + wx – xy
D) lx + wy – xy
E) xy – lw – wy
ShowHide Answer
Official Answer
C
User avatar
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5962
Own Kudos [?]: 13391 [1]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Send PM
Reviews Badge
Re: If x inches are cut from the length, l, of a rectangle and y inches ar [#permalink] New post   21 Oct 2016, 05:57
1
Bookmarks
Expert Reply
duahsolo wrote:
If x inches are cut from the length, l, of a rectangle and y inches are cut from the width, w, of the same rectangle, then which of the following correctly expresses the amount of the area of the original rectangle that was removed in terms of l, w, x, and y?

A) xy
B) lw – yx
C) ly + wx – xy
D) lx + wy – xy
E) xy – lw – wy


Initial Area = l*w

Area after cutting rectangle = (l-x)*(w-y)

Area removed = Initial Area - Final Area = l*w - (l-x)*(w-y) = l*w - [l*w-x*w-l*y+x*y) = x*w+l*y-x*y

Answer: Option C

Alternatively You may assume values of l, w, x and y and check options
User avatar
Manonamission
Manager
Manager
Joined: 11 Jul 2016
Posts: 73
Own Kudos [?]: 196 [0]
Given Kudos: 87
Send PM
Re: If x inches are cut from the length, l, of a rectangle and y inches ar [#permalink] New post   22 Oct 2016, 05:42
Removed area = l*w - (l-x)*(w-y) = l*w - [l*w-x*w-l*y+x*y) = x*w+l*y-x*y

C
User avatar
gauravk
Manager
Manager
Joined: 29 Aug 2008
Posts: 86
Own Kudos [?]: 99 [0]
Given Kudos: 284
Send PM
Re: If x inches are cut from the length, l, of a rectangle and y inches ar [#permalink] New post   22 Oct 2016, 06:13
Original Area of Rectangle = l*w

New length = l - x

New Width = w - y

New area = (l - x)*(w - y)

Area removed = Original area - New Area

= l*w - (l - x)*(w - y)

= ly + wx – xy

Option C
User avatar
S
Sirakri
Current Student
Joined: 11 Oct 2015
Status:Preparing for GMAT!!
Posts: 112
Own Kudos [?]: 53 [0]
Given Kudos: 109
Location: India
Concentration: Entrepreneurship, International Business
Schools: Molson '20 (A) ISB '19 (D) Babson '20 (A$) Olin '20 (D) Schulich Sept 18 Intake (WL)
GMAT 1: 660 Q47 V34
GMAT 2: 700 Q48 V38
GPA: 3.1
WE:General Management (Entertainment and Sports)
Send PM
GMAT ToolKit User
Re: If x inches are cut from the length, l, of a rectangle and y inches ar [#permalink] New post   20 Feb 2017, 07:32
duahsolo wrote:
If x inches are cut from the length, l, of a rectangle and y inches are cut from the width, w, of the same rectangle, then which of the following correctly expresses the amount of the area of the original rectangle that was removed in terms of l, w, x, and y?

A) xy
B) lw – yx
C) ly + wx – xy
D) lx + wy – xy
E) xy – lw – wy


\(Initial area=l*w\)
\(New area=(l-x)*(w-x)=-(-lw+ly+wx-xy)\)
\(Difference=lw-[-(-lw+ly+wx-xy)]=lw-lw+ly+wx-xy=ly+wx-xy\)

C.
User avatar
G
AR15J
Manager
Manager
Joined: 21 Aug 2016
Posts: 222
Own Kudos [?]: 153 [0]
Given Kudos: 145
Location: India
GPA: 3.9
WE:Information Technology (Computer Software)
Send PM
GMAT ToolKit User Reviews Badge
Re: If x inches are cut from the length, l, of a rectangle and y inches ar [#permalink] New post   06 Jul 2017, 15:08
Very silly question-- why xy is an incorrect answer?

Please help !
avatar
B
GMATAspirer09
Intern
Intern
Joined: 16 Feb 2017
Posts: 13
Own Kudos [?]: 36 [0]
Given Kudos: 80
Send PM
Re: If x inches are cut from the length, l, of a rectangle and y inches ar [#permalink] New post   06 Jul 2017, 17:39
AR15J wrote:
Very silly question-- why xy is an incorrect answer?

Please help !


This question can be best solved by using values for all variables - l,w,x,y in the question.
Let l =15, w = 10, x = 5, y = 2.

This means Orig. Area = 15X10 = 150
New Area = (15-5) X (10-2) = 10X8 = 80

Reduction in area = 150-80=70

AR15J To answer your question - xy will be incorrect coz reduction in area is not 10 here.

Back to main question:
putting these values in all answer choices that we have, only C comes out with valid answer = 70
ly+wx-xy = 15X2+10X5-10X2 = 30+50-10 = 80-10 = 70.

Hope this helps!
User avatar
G
KanishkM
Director
Director
Joined: 09 Mar 2018
Posts: 783
Own Kudos [?]: 453 [0]
Given Kudos: 123
Location: India
Schools: DeGroote'21 Desautels '21 NUS '21
Send PM
Re: If x inches are cut from the length, l, of a rectangle and y inches ar [#permalink] New post   09 Feb 2019, 10:10
duahsolo wrote:
If x inches are cut from the length, l, of a rectangle and y inches are cut from the width, w, of the same rectangle, then which of the following correctly expresses the amount of the area of the original rectangle that was removed in terms of l, w, x, and y?

A) xy
B) lw – yx
C) ly + wx – xy
D) lx + wy – xy
E) xy – lw – wy


So lets see, plug in some values

l = 10 , w = 5
Initial area = 50

x = 2 , y =3
New area = 10 -2 * 5-3
= 8 * 2
= 16

Area difference = 50 - 16 = 34

C) ly + wx – xy
30 + 10 - 6
40 - 6
34
User avatar
L
MartyTargetTestPrep
Target Test Prep Representative
Joined: 24 Nov 2014
Status:Chief Curriculum and Content Architect
Affiliations: Target Test Prep
Posts: 3480
Own Kudos [?]: 5137 [0]
Given Kudos: 1431
GMAT 1: 800 Q51 V51
Send PM
If x inches are cut from the length, l, of a rectangle and y inches ar [#permalink] New post   09 Feb 2019, 11:07
Expert Reply
duahsolo wrote:
If x inches are cut from the length, l, of a rectangle and y inches are cut from the width, w, of the same rectangle, then which of the following correctly expresses the amount of the area of the original rectangle that was removed in terms of l, w, x, and y?

A) xy
B) lw – yx
C) ly + wx – xy
D) lx + wy – xy
E) xy – lw – wy

If x inches are cut from the length, then wx square inches are cut from one end of the rectangle.

If y inches are cut from the width, then ly square inches are cut from one long side of the rectangle.

There is an overlap of the two cut pieces in one corner. The area of the overlap is xy. By adding the lx and wy areas, we include this overlap twice. So, to account for the overlap, we have to subtract xy one time from the total.

The total removed is thus:

wx + ly - xy

The correct answer is (C).
GMAT Club Bot
gmatclubot
If x inches are cut from the length, l, of a rectangle and y inches ar [#permalink]
09 Feb 2019, 11:07
Moderators:
Bunuel
Math Expert
92948 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions