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

 It is currently 12 Dec 2019, 19:14 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If x inches are cut from the length, l, of a rectangle and y inches ar

Author Message
TAGS:

### Hide Tags

Manager  G
Joined: 02 Jun 2015
Posts: 169
Location: Ghana
If x inches are cut from the length, l, of a rectangle and y inches ar  [#permalink]

### Show Tags

1 00:00

Difficulty:   45% (medium)

Question Stats: 67% (02:10) correct 33% (02:09) wrong based on 113 sessions

### HideShow 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
CEO  D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2977
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Re: If x inches are cut from the length, l, of a rectangle and y inches ar  [#permalink]

### Show Tags

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

Alternatively You may assume values of l, w, x and y and check options
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Manager  Joined: 11 Jul 2016
Posts: 77
Re: If x inches are cut from the length, l, of a rectangle and y inches ar  [#permalink]

### Show Tags

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
Manager  Joined: 29 Aug 2008
Posts: 103
Re: If x inches are cut from the length, l, of a rectangle and y inches ar  [#permalink]

### Show Tags

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
Current Student S
Status: Preparing for GMAT!!
Joined: 11 Oct 2015
Posts: 125
Location: India
GMAT 1: 660 Q47 V34 GMAT 2: 700 Q48 V38 GPA: 3.1
WE: General Management (Entertainment and Sports)
Re: If x inches are cut from the length, l, of a rectangle and y inches ar  [#permalink]

### Show Tags

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.
_________________
Yours,
Siva Rama Krishna Meka Senior Manager  G
Joined: 21 Aug 2016
Posts: 255
Location: India
GPA: 3.9
WE: Information Technology (Computer Software)
Re: If x inches are cut from the length, l, of a rectangle and y inches ar  [#permalink]

### Show Tags

Very silly question-- why xy is an incorrect answer?

Intern  B
Joined: 16 Feb 2017
Posts: 18
Re: If x inches are cut from the length, l, of a rectangle and y inches ar  [#permalink]

### Show Tags

AR15J wrote:
Very silly question-- why xy is an incorrect answer?

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!
Director  G
Joined: 09 Mar 2018
Posts: 994
Location: India
Re: If x inches are cut from the length, l, of a rectangle and y inches ar  [#permalink]

### Show Tags

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
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
Target Test Prep Representative D
Status: Chief Curriculum and Content Architect
Affiliations: Target Test Prep
Joined: 24 Nov 2014
Posts: 627
GMAT 1: 800 Q51 V51 If x inches are cut from the length, l, of a rectangle and y inches ar  [#permalink]

### Show Tags

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

_________________

# Marty Murray

Chief Curriculum and Content Architect

Marty@targettestprep.com

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button. If x inches are cut from the length, l, of a rectangle and y inches ar   [#permalink] 09 Feb 2019, 11:07
Display posts from previous: Sort by

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