It is currently 13 Aug 2020, 17:45
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.

In the figure shown, PQRS is a square, T is the midpoint of

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 12642
Followers: 268

Kudos [?]: 3171 [0], given: 11677

CAT Tests
In the figure shown, PQRS is a square, T is the midpoint of [#permalink] New post 21 Nov 2019, 11:35
Expert's post
00:00

Question Stats:

72% (01:16) correct 27% (01:56) wrong based on 22 sessions
Attachment:
#greprepclub In the figure shown.jpg
#greprepclub In the figure shown.jpg [ 27.25 KiB | Viewed 662 times ]


In the figure shown, \(PQRS\) is a square, \(T\) is the midpoint of side \(PS\), and \(U\) is the midpoint of side \(QR\). The area of the shaded region is what fraction of the area of square \( PQRS\) ?

A. \(\frac{1}{6
}\)

B. \(\frac{1}{8}\)

C. \(\frac{1}{5}\)

D. \(\frac{1}{4}\)

E. \(\frac{1}{3}\)


Kudos for the right answer and solution.
[Reveal] Spoiler: OA

_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

2 KUDOS received
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 12642
Followers: 268

Kudos [?]: 3171 [2] , given: 11677

CAT Tests
Re: In the figure shown, PQRS is a square, T is the midpoint of [#permalink] New post 20 Apr 2020, 15:55
2
This post received
KUDOS
Expert's post
PTUR is a parallelogram so the area is x/2*x = x^2/2
the shaded portion is half of this
so it is x^2/4

Area of square x^2

(x^2/4)/x^2

=1/4
_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

1 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 3675
Followers: 142

Kudos [?]: 4246 [1] , given: 67

CAT Tests
Re: In the figure shown, PQRS is a square, T is the midpoint of [#permalink] New post 28 Jul 2020, 06:26
1
This post received
KUDOS
Expert's post
Carcass wrote:
Attachment:
#greprepclub In the figure shown.jpg


In the figure shown, \(PQRS\) is a square, \(T\) is the midpoint of side \(PS\), and \(U\) is the midpoint of side \(QR\). The area of the shaded region is what fraction of the area of square \( PQRS\) ?

A. \(\frac{1}{6
}\)

B. \(\frac{1}{8}\)

C. \(\frac{1}{5}\)

D. \(\frac{1}{4}\)

E. \(\frac{1}{3}\)

Kudos for the right answer and solution.


Let's say that each side of the square has length 2
Which means its area = (2)(2) = 4

Since T and U are midpoints, we get the following measurements:
Image
Since URPT is a parallelogram, its area = (base)(height) = (1)(2) = 2

Image
Since the blue line divides parallelogram URPT into 2 EQUAL pieces, the area of the shaded region = 1/2 of 2, which is 1


The area of the shaded region is what fraction of the area of square PQRS?
Fraction = 1/4

Answer: D

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course.
Image
Sign up for GRE Question of the Day emails

Re: In the figure shown, PQRS is a square, T is the midpoint of   [#permalink] 28 Jul 2020, 06:26
    Similar topics Author Replies Last post
Similar
Topics:
New posts qq/微信1619053386办理利兹大学毕业证成绩单录取通知书Offer在读证明等 dayangiooi 0 01 Dec 2015, 21:30
Display posts from previous: Sort by

In the figure shown, PQRS is a square, T is the midpoint of

  Question banks Downloads My Bookmarks Reviews Important topics  


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®.