It is currently 20 Oct 2017, 17:07

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In the figure above, the area of square PQRS is 64. What is the area

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129035 [0], given: 12187

In the figure above, the area of square PQRS is 64. What is the area [#permalink]

Show Tags

New post 19 Sep 2017, 23:34
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

93% (00:30) correct 7% (01:03) wrong based on 42 sessions

HideShow timer Statistics

Image
In the figure above, the area of square PQRS is 64. What is the area of ∆ QRT?

(A) 48
(B) 32
(C) 24
(D) 16
(E) 8

[Reveal] Spoiler:
Attachment:
2017-09-20_1018_001.png
2017-09-20_1018_001.png [ 5.84 KiB | Viewed 436 times ]
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 129035 [0], given: 12187

Intern
Intern
avatar
B
Joined: 29 Aug 2017
Posts: 25

Kudos [?]: 1 [0], given: 28

Re: In the figure above, the area of square PQRS is 64. What is the area [#permalink]

Show Tags

New post 20 Sep 2017, 00:59
Area of square PQRS = 64
Area of triangle QRT = (1/2) * b * h = (1/2) * QR * QP
Since QR * QP = side of the square * side of the square = area of the square PQRS = 64
Therefore, area of triangle QRT = (1/2) * 64 = 32
Answer is B.

Kudos [?]: 1 [0], given: 28

Expert Post
Veritas Prep GMAT Instructor
User avatar
G
Joined: 16 Oct 2010
Posts: 7676

Kudos [?]: 17369 [0], given: 232

Location: Pune, India
In the figure above, the area of square PQRS is 64. What is the area [#permalink]

Show Tags

New post 20 Sep 2017, 03:23
The location of point T is not defined. So it can be any point on PS. Just think of it as a point almost overlapping with S. Then area of PTR would be very close to 32 i.e. half of 64.
Since T could be such a point, the area of every such triangle must be 32 only.

Tip: In PS questions, try to make the figure as symmetrical as you can under the given constraints, to get the answer quickly. Do just the opposite for DS questions.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Kudos [?]: 17369 [0], given: 232

Intern
Intern
avatar
B
Joined: 20 Aug 2016
Posts: 8

Kudos [?]: 11 [0], given: 6

Location: India
Concentration: Strategy, International Business
WE: Operations (Computer Software)
GMAT ToolKit User
In the figure above, the area of square PQRS is 64. What is the area [#permalink]

Show Tags

New post 20 Sep 2017, 04:16
Image


lets think it logically


area of any triangle is = (1/2)* base * height

in the figure wherever the point T belong the height of triangle will remain 8 that is the perpendicular from T to QR

so we know the length of QR that is 8 as the area of square is 64 so side is 8*8

so as now we know the base and height the area is (1/2) * 8 * 8 = 32

Answer is B

Kudos [?]: 11 [0], given: 6

Manager
Manager
avatar
B
Joined: 06 Aug 2017
Posts: 54

Kudos [?]: 8 [0], given: 19

GMAT 1: 610 Q48 V24
Re: In the figure above, the area of square PQRS is 64. What is the area [#permalink]

Show Tags

New post 23 Sep 2017, 00:53
Bunuel wrote:
Image
In the figure above, the area of square PQRS is 64. What is the area of ∆ QRT?

(A) 48
(B) 32
(C) 24
(D) 16
(E) 8

[Reveal] Spoiler:
Attachment:
2017-09-20_1018_001.png


Answer is B=32

There is no need to even apply the formula for area of the triangle.

Since location of point T is not defined, we can assume it to be anywhere.

Consider point T to coincide with point P. This will divide the squire in 2 equal halves.

Since the area of the squire is 64, the are of triangle will be 64/2 = 32.
_________________

-------------------------------------------------------------------------------
Kudos are the only way to tell whether my post is useful.

Kudos [?]: 8 [0], given: 19

Director
Director
avatar
G
Joined: 02 Sep 2016
Posts: 776

Kudos [?]: 41 [0], given: 267

Premium Member CAT Tests
Re: In the figure above, the area of square PQRS is 64. What is the area [#permalink]

Show Tags

New post 23 Sep 2017, 11:54
Side of the square= 8
T will be somewhere on the side PS but we know that it will be on the side. Thus (I inferred) that height of the triangle would equal 8.
Area= 1/2*8*8= 32
_________________

Help me make my explanation better by providing a logical feedback.

If you liked the post, HIT KUDOS !!

Don't quit.............Do it.

Kudos [?]: 41 [0], given: 267

Re: In the figure above, the area of square PQRS is 64. What is the area   [#permalink] 23 Sep 2017, 11:54
Display posts from previous: Sort by

In the figure above, the area of square PQRS is 64. What is the area

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.