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.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
If x inches are cut from the length, l, of a rectangle and y inches ar
[#permalink]
Show Tags
21 Oct 2016, 01:08
00:00
A
B
C
D
E
Difficulty:
55% (hard)
Question Stats:
66% (02:08) correct 34% (02:10) wrong based on 100 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
Re: If x inches are cut from the length, l, of a rectangle and y inches ar
[#permalink]
Show Tags
21 Oct 2016, 04:57
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
_________________
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
Re: If x inches are cut from the length, l, of a rectangle and y inches ar
[#permalink]
Show Tags
20 Feb 2017, 06:32
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
Re: If x inches are cut from the length, l, of a rectangle and y inches ar
[#permalink]
Show Tags
06 Jul 2017, 16:39
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.
Re: If x inches are cut from the length, l, of a rectangle and y inches ar
[#permalink]
Show Tags
09 Feb 2019, 09:10
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
If x inches are cut from the length, l, of a rectangle and y inches ar
[#permalink]
Show Tags
09 Feb 2019, 10:07
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).
_________________
Marty Murray Chief Curriculum and Content Architect
GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions
close
66% (02:08) correct 
