GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 26 May 2019, 10:22 ### 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. ### Request Expert Reply # If the figure above shows the diagonal of two rectangles, is the inner

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 55277
If the figure above shows the diagonal of two rectangles, is the inner  [#permalink]

### Show Tags 00:00

Difficulty:   35% (medium)

Question Stats: 71% (01:14) correct 29% (01:24) wrong based on 43 sessions

### HideShow timer Statistics If the figure above shows the diagonal of two rectangles, is the inner rectangle a square?

(1) The outer rectangle is a square.
(2) The ratio of a side of the outer rectangle to its area is is x:x^2

Attachment: image009.jpg [ 3.76 KiB | Viewed 526 times ]

_________________
Manager  S
Joined: 19 Apr 2017
Posts: 78
Concentration: General Management, Sustainability
Schools: ESSEC '22
GPA: 3.9
WE: Operations (Hospitality and Tourism)
Re: If the figure above shows the diagonal of two rectangles, is the inner  [#permalink]

### Show Tags

If the figure above shows the diagonal of two rectangles, is the inner rectangle a square?
The diagonals in a square are always 45 degrees, if we can prove the diagonal is at 45 degree we find the answer

(1) The outer rectangle is a square means the diagonal splits the square into two 45 45 90 triangle = a, a, a√2
Since the diagonal is 45 then the inner rectangle is also a square

(2) The ratio of a side of the outer rectangle to its area is is x:x^2

$$side:area = x:x^2$$

$$side/(side^2) = x:x^2$$

means the area is side times side which is not true for rectangle but true for square
sufficient

D Re: If the figure above shows the diagonal of two rectangles, is the inner   [#permalink] 15 Sep 2018, 04:46
Display posts from previous: Sort by

# If the figure above shows the diagonal of two rectangles, is the inner

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.

#### MBA Resources  