 It is currently 23 Nov 2020, 11:41 ### 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

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 Joined: 08 Jun 2018
Posts: 7
Followers: 0

Kudos [?]: 5 , given: 2

The figure above shows a rectangle inscribed within a square [#permalink] 00:00

Question Stats: 100% (02:35) correct 0% (00:00) wrong based on 3 sessions
Attachment: square.jpg [ 7.64 KiB | Viewed 1892 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.
[Reveal] Spoiler: OA

Last edited by Carcass on 24 Feb 2020, 14:54, edited 3 times in total.
Updated Active Member Joined: 29 May 2018
Posts: 126
Followers: 0

Kudos [?]: 112  , given: 4

Re: The figure above shows a rectangle inscribed within a square [#permalink]
3
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 ($$\sqrt{2}$$)

Hope it clears.
Attachments Geo1.PNG [ 23.18 KiB | Viewed 1874 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  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®.