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:

In the figure shown, two identical squares are inscribed in [#permalink]

Show Tags

27 Aug 2010, 22:01

2

This post received KUDOS

8

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

35% (medium)

Question Stats:

69% (02:48) correct
31% (01:58) wrong based on 270 sessions

HideShow timer Statistics

In the figure shown, two identical squares are inscribed in the rectangle. If the perimeter of the rectangle is 18√2, then what is the perimeter of each square?

In the figure attached (refer file), two identical squares are inscribed in the rectangle. If the perimeter of the rectangle is 18√2, then what is the perimeter of each square? A. 8√2 B. 12 C. 12√2 D. 16 E. 18

The rectangle's \(width=d\) and \(length=2d\), where \(d\) is the diagonal of each square.

In the figure shown, two identical squares are inscribed in the rectangle. If the perimeter of the rectangle is 18\sqrt{2}, then what is the perimeter of each square?

In the figure shown, two identical squares are inscribed in the rectangle. If the perimeter of the rectangle is 18\sqrt{2}, then what is the perimeter of each square?

A. 8\sqrt{2} B. 12 C. 12\sqrt{2} D. 16 E. 18

Please see figure in the attached file.

PERIMETER=2(A+B) WHERE A AND B ARE TWO SIDES OF THE RECTANGLE..... A --> THE LENGTH B-- > THE BREADTH

AS THE TWO SQUARES ARE IDENTICAL THE DIAGONALS ARE EQUAL TO B . THEREFORE A=2B ..

In the figure shown, two identical squares are inscribed in the rectangle. If the perimeter of the rectangle is 18\sqrt{2}, then what is the perimeter of each square?

A. 8\sqrt{2} B. 12 C. 12\sqrt{2} D. 16 E. 18

Please see figure in the attached file.

Merging similar topics. Please refer to the solutions above.
_________________

Re: In the figure shown, two identical squares are inscribed in [#permalink]

Show Tags

26 Sep 2012, 00:40

Interesting questions and i like such questions. Since diagonal of the square is equal to side of the square*sqrt2 then we have one side of the reqtangle is equal to two diagonal of the square and another side of the rectangle is equal to one diagonal. All the sides (perimiter) are equal to 6 diagonals. So the side of the square is equal to 18\sqrt{2}/6\sqrt{2}=3. Then perimiter of the square 3*4=12
_________________

If you found my post useful and/or interesting - you are welcome to give kudos!

Re: In the figure shown, two identical squares are inscribed in [#permalink]

Show Tags

21 Nov 2013, 13:45

udaymathapati wrote:

In the figure shown, two identical squares are inscribed in the rectangle. If the perimeter of the rectangle is 18√2, then what is the perimeter of each square?

Attachment:

Rectangle.png

A. 8√2 B. 12 C. 12√2 D. 16 E. 18

If y'all take a look you can tell that the length + width is equal to 3 diagonals of the square. Therefore, Since 2(x+y) = 18 sqrt (2) then x+y = 9 sqrt (2) Now as stated before we have 3s sqrt (2) = 9 sqrt (2) s = 3, 's' stands for side of the square. Perimeter = 12

In the figure attached (refer file), two identical squares are inscribed in the rectangle. If the perimeter of the rectangle is 18√2, then what is the perimeter of each square? A. 8√2 B. 12 C. 12√2 D. 16 E. 18

The rectangle's \(width=d\) and \(length=2d\), where \(d\) is the diagonal of each square.

In the figure attached (refer file), two identical squares are inscribed in the rectangle. If the perimeter of the rectangle is 18√2, then what is the perimeter of each square? A. 8√2 B. 12 C. 12√2 D. 16 E. 18

The rectangle's \(width=d\) and \(length=2d\), where \(d\) is the diagonal of each square.

Re: In the figure shown, two identical squares are inscribed in [#permalink]

Show Tags

26 Sep 2015, 06:58

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.
_________________

In the figure shown, two identical squares are inscribed in [#permalink]

Show Tags

30 Jul 2016, 05:07

udaymathapati wrote:

In the figure shown, two identical squares are inscribed in the rectangle. If the perimeter of the rectangle is 18√2, then what is the perimeter of each square?

Attachment:

The attachment Rectangle.png is no longer available

A. 8√2 B. 12 C. 12√2 D. 16 E. 18

Given \(2l+2b=18√2\) \(l+b=9√2\) {equation 1}

As seen in the diagram that length of the RECTANGLE is diagonal + diagonal OF SQUARE ; length = \(2d\) As seen in the diagram that breadth of the RECTANGLE is diagonal of the SQUARE =\(d\) As seen in the diagram the side of the square is \(x\)

Substituting these values in equation 1 gives us \(2d+d=9√2\) \(3d=9√2\) \(d=3√2\) so the diagonal of the square is \(3√2\) now \(side^2 + side^2 = diagonal ^2\) {simple pythagorus theorum} \(x^2+x^2= (3√2)^2\)

\(2x^2= 9*2=18\)

\(x^2=\frac{18}{2} = 9\)

\(x=\sqrt{9}\)

\(x= 3\)the side of the square is 3 therefore its perimeter is 3*4=12

answer is B

Attachments

Rectangle.png [ 101.26 KiB | Viewed 2191 times ]

_________________

Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly. FINAL GOODBYE :- 17th SEPTEMBER 2016.

gmatclubot

In the figure shown, two identical squares are inscribed in
[#permalink]
30 Jul 2016, 05:07

Happy New Year everyone! Before I get started on this post, and well, restarted on this blog in general, I wanted to mention something. For the past several months...

It’s quickly approaching two years since I last wrote anything on this blog. A lot has happened since then. When I last posted, I had just gotten back from...

Happy 2017! Here is another update, 7 months later. With this pace I might add only one more post before the end of the GSB! However, I promised that...

The words of John O’Donohue ring in my head every time I reflect on the transformative, euphoric, life-changing, demanding, emotional, and great year that 2016 was! The fourth to...