It is currently 14 Dec 2018, 07:28
My Tests

Close

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
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.

The figure above shows a rectangle inscribed within a square

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Intern
Intern
Joined: 08 Jun 2018
Posts: 7
Followers: 0

Kudos [?]: 3 [0], given: 2

The figure above shows a rectangle inscribed within a square [#permalink] New post 10 Jun 2018, 10:37
00:00

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Hi, I have uploaded the question as an attachment. I'd really appreciate if someone could tell me how to solve the question

Thanks

Attachment:
square.jpg
square.jpg [ 7.64 KiB | Viewed 367 times ]


The figure above shows a rectangle inscribed within a square. Now many times greater is the perimeter of the square than the perimeter of the Inscribed rectangle?


A. \(\sqrt{2}\)

B. \(\frac{2 + \sqrt{2}}{2}\)

C. \(2\)

D. \(2 \sqrt{2}\)

E. it cannot be determined from the information given.

Last edited by Carcass on 10 Jun 2018, 11:31, edited 1 time in total.
Formatted
3 KUDOS received
GRE Forum Moderator
Joined: 29 May 2018
Posts: 118
Followers: 0

Kudos [?]: 77 [3] , given: 3

CAT Tests
Re: The figure above shows a rectangle inscribed within a square [#permalink] New post 11 Jun 2018, 03:33
3
This post received
KUDOS
Kahani98 wrote:
Hi, I have uploaded the question as an attachment. I'd really appreciate if someone could tell me how to solve the question

Thanks

Attachment:
The attachment square.jpg is no longer available


The figure above shows a rectangle inscribed within a square. Now many times greater is the perimeter of the square than the perimeter of the Inscribed rectangle?


A. \(\sqrt{2}\)

B. \(\frac{2 + \sqrt{2}}{2}\)

C. \(2\)

D. \(2 \sqrt{2}\)

E. it cannot be determined from the information given.


Refer diagram.

We know that perimeter of a square is 4a and perimeter of a rectangle is 2(l+b).

Now let side of a square a = x+y.

Let c and d be sides of the rectangle.

To get value of c , we have a right triangle value of c = \(\sqrt{2}\)x.

Similarly value of d will be = \(\sqrt{2}\)y.

Now total perimeter of a rectangle will be 2( \(\sqrt{2}\) x + \(\sqrt{2}\) y ) .
=> 2(\(\sqrt{2}\)(x+y)...

Now perimeter of square is 4(x+y).

Now question asks perimeter of sqaure what times greater than perimeter of rectangle.

4(x+y) = a times * 2(\(\sqrt{2}\))(x+y).

Cancel (x+y) on both sides.

4 = a times * 2(\(\sqrt{2}\)) is possible when a is (\(\sqrt{2}\))

So answer is A.

Hope it clears.
Attachments

Geo1.PNG
Geo1.PNG [ 23.18 KiB | Viewed 349 times ]

Re: The figure above shows a rectangle inscribed within a square   [#permalink] 11 Jun 2018, 03:33
Display posts from previous: Sort by

The figure above shows a rectangle inscribed within a square

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.