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:

Re: Square ABCD has an area of 9 square inches. [#permalink]

Show Tags

31 Jul 2012, 22:01

Edit: never mind I thought it was a rectangle instead of a square, deleted my post to avoid confusion, I keep my explanation of statement 2 since it is mentioned by someone else below.

2) Any rectangle can be divided into 3 rectangles of equal size, insufficient

Last edited by duriangris on 31 Jul 2012, 23:40, edited 1 time in total.

Re: Square ABCD has an area of 9 square inches. [#permalink]

Show Tags

31 Jul 2012, 22:50

1

This post received KUDOS

(1) Given that the area of the square is 9, then each side of the square is 3. The lengthened sides will be of length 3 + x each, and the diagonal of the obtained rectangle being 5, we can write \((x+3)^2+3^2=5^2\), from which \((x+3)^2=16\), so \(x = 1\). Sufficient.

(2) Obviously, not sufficient, as was already mentioned by "duriangris" in the previous post.

Answer A.
_________________

PhD in Applied Mathematics Love GMAT Quant questions and running.

Re: Square ABCD has an area of 9 square inches. [#permalink]

Show Tags

31 Jul 2012, 23:38

EvaJager wrote:

(1) Given that the area of the square is 9, then each side of the square is 3. The lengthened sides will be of length 3 + x each, and the diagonal of the obtained rectangle being 5, we can write \((x+3)^2+3^2=5^2\), from which \((x+3)^2=16\), so \(x = 1\). Sufficient.

(2) Obviously, not sufficient, as was already mentioned by "duriangris" in the previous post.

Re: Square ABCD has an area of 9 square inches. Sides AD and BC [#permalink]

Show Tags

07 Jan 2016, 20:04

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.
_________________

Re: Square ABCD has an area of 9 square inches. Sides AD and BC [#permalink]

Show Tags

30 Jul 2016, 10:34

venmic wrote:

Square ABCD has an area of 9 square inches. Sides AD and BC are lengthened to x inches each. By how many inches were sides AD and BC lengthened?

Attachment:

Square.png

(1) The diagonal of the resulting rectangle measures 5 inches. (2) The resulting rectangle can be cut into three rectangles of equal size.

Can anyone help me vvith B please .. Ive got A right

(1)-let side will be stretched x inches then side BC=3+x so by pythagoras theorem (3+x)^2+3^2=5^2 thus we can find x suff... (2) let BC be extended 6 inches then we have identical three 3*3 sized rectangle But if BC extended 12 inches then also we get identical three 3*5 sized rectangle

Re: Square ABCD has an area of 9 square inches. Sides AD and BC [#permalink]

Show Tags

31 Dec 2016, 02:42

If the square has an area of 9 square inches, it must have sides of 3 inches each. Therefore, sides AD and BC have lengths of 3 inches each. These sides are lengthened to x inches, while the other two remain at 3 inches. This gives us a rectangle with two opposite sides of length x and two opposite sides of length 3. Then we are asked by how much the two lengthened sides were extended. In other words, what is the value of x – 3? In order to answer this, we need to find the value of x itself.

(1) SUFFICIENT: If the resulting rectangle has a diagonal of 5 inches, we end up with the following: We can now see that we have a 3-4-5 right triangle, since we have a leg of 3 and a hypotenuse (the diagonal) of 5. The missing leg (in this case, x) must equal 4. Therefore, the two sides were each extended by 4 – 3 = 1 inch.

(2) INSUFFICIENT: It will be possible, no matter what the value of x, to divide the resulting rectangle into three smaller rectangles of equal size. For example, if x = 4, then the area of the rectangle is 12 and we can have three rectangles with an area of 4 each. If x = 5, then the area of the rectangle is 15 and we can have three rectangles with an area of 5 each. So it is not possible to know the value of x from this statement. The correct answer is A.

Attachments

snip.PNG [ 6.26 KiB | Viewed 173 times ]

_________________

Thanks & Regards, Anaira Mitch

gmatclubot

Re: Square ABCD has an area of 9 square inches. Sides AD and BC
[#permalink]
31 Dec 2016, 02:42

Its been long time coming. I have always been passionate about poetry. It’s my way of expressing my feelings and emotions. And i feel a person can convey...

Written by Scottish historian Niall Ferguson , the book is subtitled “A Financial History of the World”. There is also a long documentary of the same name that the...

Post-MBA I became very intrigued by how senior leaders navigated their career progression. It was also at this time that I realized I learned nothing about this during my...