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

 It is currently 13 Oct 2019, 18:30

### 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

# In square PQRS above, if ST = TQ and SU = RU, then the area of the sha

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58335
In square PQRS above, if ST = TQ and SU = RU, then the area of the sha  [#permalink]

### Show Tags

16 Oct 2018, 01:25
00:00

Difficulty:

15% (low)

Question Stats:

94% (00:47) correct 6% (00:37) wrong based on 20 sessions

### HideShow timer Statistics

In square PQRS above, if ST = TQ and SU = RU, then the area of the shaded region is what fraction of the area of square region PQRS?

(A) 1/16
(B) 1/8
(C) 1/6
(D) 1/4
(E) 1/3

Attachment:

2018-10-16_1223.png [ 12.46 KiB | Viewed 341 times ]

_________________
NUS School Moderator
Joined: 18 Jul 2018
Posts: 1028
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: In square PQRS above, if ST = TQ and SU = RU, then the area of the sha  [#permalink]

### Show Tags

16 Oct 2018, 01:30
Since SQ is the diagonal of the square PQRS. Area of triangle SRQ will be half of PQRS. Now Triangle TUR is 1/4 of the area of SRQ. Hence the triangle TUR will be 1/8 of the area of the triangle PQRS.

_________________
Press +1 Kudos If my post helps!
BSchool Forum Moderator
Joined: 23 May 2018
Posts: 524
Location: Pakistan
Re: In square PQRS above, if ST = TQ and SU = RU, then the area of the sha  [#permalink]

### Show Tags

16 Oct 2018, 01:40
1
ST=TQ tells us that T is the center of the square.
SU=RU tells us that U is the midpoint of SR.

This translates to TUR being $$\frac{1}{2}$$ of TSR
TSR is $$\frac{1}{2}$$ of SQR

There can be 8 equal segments of area TUR in the square, therefore TUR is $$\frac{1}{8}$$ the area of the square.
_________________
If you can dream it, you can do it.

Practice makes you perfect.

Kudos are appreciated.
Re: In square PQRS above, if ST = TQ and SU = RU, then the area of the sha   [#permalink] 16 Oct 2018, 01:40
Display posts from previous: Sort by