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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

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:

89% (01:59) correct
11% (01:01) wrong based on 79 sessions

HideShow timer Statistics

Attachment:

square in a square.png [ 14.6 KiB | Viewed 1798 times ]

ABCD is a square with a side y, and JKLM is a side x. If Rectangle S (not shown) with length (x + y) has the same area as the shaded region above, what is the width of Rectangle S? (A) x (B) y (C) y + x (D) y - x (E) \(y^2 - x^2\)

Re: ABCD is a square with a side y, and JKLM is a side x. [#permalink]

Show Tags

02 May 2013, 11:52

1

This post received KUDOS

We have the area of the shaded region:-(y^2)-(x^2) Now the shaded area can be factorised as (y+x)(y-x). The question tells us that a rectangle of length (x+y) has the same area (y^2-x^2). Hence, the width of the rectangle has to be (y-x)

_________________

If you shut your door to all errors, truth will be shut out.

Re: ABCD is a square with a side y, and JKLM is a side x. [#permalink]

Show Tags

02 May 2013, 21:14

1

This post received KUDOS

mikemcgarry wrote:

Attachment:

square in a square.png

ABCD is a square with a side y, and JKLM is a side x. If Rectangle S (not shown) with length (x + y) has the same area as the shaded region above, what is the width of Rectangle S? (A) x (B) y (C) y + x (D) y - x (E) \(y^2 - x^2\)

Sorry for Question ....but do you really think ?? This is a 700- level Question ??? I did this in around 30 seconds .......... Pls advise. Thanks !! in Advance ............
_________________

If you don’t make mistakes, you’re not working hard. And Now that’s a Huge mistake.

Hi Mike, Sorry for Question ....but do you really think ?? This is a 700- level Question ??? I did this in around 30 seconds .......... Pls advise. Thanks !! in Advance ............

To be perfectly honest, many of the questions I post are ones I have recently written. I like to share brand new content with folks who are studying for the GMAT. If a question has been in the Magoosh product for a while, then hundreds of people will have answered it, and we can see the percentage correct and thus judge with considerable accuracy the difficulty of the question. By contrast, when I write a brand new question and post it on GC, the system requires me to estimate a difficulty level, and I have to take my best guess. To be perfectly blunt, I am conversant in multivariable calculus and advanced statistics, so pretty much all GMAT math looks easy to me ---- it's very hard for me to guess what other folks are going to find easy or difficult. I am estimating from my experience of the wide array of GMAT students I have encountered.

With this particular question, one has to see, first of all, that the shaded area is the big square minus the small square, y^2 - x^2. Then, one has to see one can factor y^2 - x^2 = (y + x)(y - x). If one sees both of those right away, this problem is trivially easy. I would say, though, not all GMAT test takers will have both of those observations right at their fingertips. For some folks, either one or both of those will be completely befuddling. It's always the case, in any GMAT math problem --- if you see all the things that are necessary to see, the problem becomes quite easy. All of math has the quality that it's impossibly difficulty when you don't know what to do and trivially easy when you do know what to do. Does all this make this question an 700 question? I don't know, but I will say, I believe it says good things about your mathematical abilities that you were able to solve it so easily. Congratulations.

Re: ABCD is a square with a side y, and JKLM is a side x. [#permalink]

Show Tags

03 May 2013, 11:34

Just think on the lines of the question. You have to find the other side and you are given the area of the rectangle. Area = L x B L = x+ y Area = y^2 - x^2 Hence B = y -x.

Re: ABCD is a square with a side y, and JKLM is a side x. [#permalink]

Show Tags

03 May 2013, 18:46

mikemcgarry wrote:

manishuol wrote:

Hi Mike, Sorry for Question ....but do you really think ?? This is a 700- level Question ??? I did this in around 30 seconds .......... Pls advise. Thanks !! in Advance ............

To be perfectly honest, many of the questions I post are ones I have recently written. I like to share brand new content with folks who are studying for the GMAT. If a question has been in the Magoosh product for a while, then hundreds of people will have answered it, and we can see the percentage correct and thus judge with considerable accuracy the difficulty of the question. By contrast, when I write a brand new question and post it on GC, the system requires me to estimate a difficulty level, and I have to take my best guess. To be perfectly blunt, I am conversant in multivariable calculus and advanced statistics, so pretty much all GMAT math looks easy to me ---- it's very hard for me to guess what other folks are going to find easy or difficult. I am estimating from my experience of the wide array of GMAT students I have encountered.

With this particular question, one has to see, first of all, that the shaded area is the big square minus the small square, y^2 - x^2. Then, one has to see one can factor y^2 - x^2 = (y + x)(y - x). If one sees both of those right away, this problem is trivially easy. I would say, though, not all GMAT test takers will have both of those observations right at their fingertips. For some folks, either one or both of those will be completely befuddling. It's always the case, in any GMAT math problem --- if you see all the things that are necessary to see, the problem becomes quite easy. All of math has the quality that it's impossibly difficulty when you don't know what to do and trivially easy when you do know what to do. Does all this make this question an 700 question? I don't know, but I will say, I believe it says good things about your mathematical abilities that you were able to solve it so easily. Congratulations.

Mike

Thanks !! for your Detailed Genuine reply ... Mike !! I appreciate that.
_________________

If you don’t make mistakes, you’re not working hard. And Now that’s a Huge mistake.

Hi Mike, Sorry for Question ....but do you really think ?? This is a 700- level Question ??? I did this in around 30 seconds .......... Pls advise. Thanks !! in Advance ............

To be perfectly honest, many of the questions I post are ones I have recently written. I like to share brand new content with folks who are studying for the GMAT. If a question has been in the Magoosh product for a while, then hundreds of people will have answered it, and we can see the percentage correct and thus judge with considerable accuracy the difficulty of the question. By contrast, when I write a brand new question and post it on GC, the system requires me to estimate a difficulty level, and I have to take my best guess. To be perfectly blunt, I am conversant in multivariable calculus and advanced statistics, so pretty much all GMAT math looks easy to me ---- it's very hard for me to guess what other folks are going to find easy or difficult. I am estimating from my experience of the wide array of GMAT students I have encountered.

With this particular question, one has to see, first of all, that the shaded area is the big square minus the small square, y^2 - x^2. Then, one has to see one can factor y^2 - x^2 = (y + x)(y - x). If one sees both of those right away, this problem is trivially easy. I would say, though, not all GMAT test takers will have both of those observations right at their fingertips. For some folks, either one or both of those will be completely befuddling. It's always the case, in any GMAT math problem --- if you see all the things that are necessary to see, the problem becomes quite easy. All of math has the quality that it's impossibly difficulty when you don't know what to do and trivially easy when you do know what to do. Does all this make this question an 700 question? I don't know, but I will say, I believe it says good things about your mathematical abilities that you were able to solve it so easily. Congratulations.

Mike

100% agree with the highlighted portion.

It is because, these things are fitted in our brain so firmly that whenever we see \(y^2\) - \(x^2\), we quickly go on to factories it as (y+x)(y-x). but this may not so easy for some students.

By the way, the equation (y+x)(y-x) = (x+y)W would have become a dangerous trap in if y and x had not been the lengths. In that case we would not be able to divide both sides of the equation by (x+y) without knowing the exact values of x and y. Consider if y=-x I initially considered this possibility assuming that Mike sir will not give us such an easy task.

Re: ABCD is a square with a side y, and JKLM is a side x. [#permalink]

Show Tags

09 May 2013, 00:34

mikemcgarry wrote:

Attachment:

square in a square.png

ABCD is a square with a side y, and JKLM is a side x. If Rectangle S (not shown) with length (x + y) has the same area as the shaded region above, what is the width of Rectangle S? (A) x (B) y (C) y + x (D) y - x (E) \(y^2 - x^2\)

Re: ABCD is a square with a side y, and JKLM is a side x. [#permalink]

Show Tags

14 Sep 2015, 05:50

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.
_________________

Hey, guys, So, I’ve decided to run a contest in hopes of getting the word about the site out to as many applicants as possible this application season...

Whether you’re an entrepreneur, aspiring business leader, or you just think that you may want to learn more about business, the thought of getting your Masters in Business Administration...

Whether you’re an entrepreneur, aspiring business leader, or you just think that you may want to learn more about business, the thought of getting your Masters in Business Administration...