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

It is currently 24 Aug 2019, 00:03

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

In the rectangular coordinate system above, for which of the

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

Hide Tags

Find Similar Topics 
Manager
Manager
User avatar
Joined: 06 Feb 2010
Posts: 145
Concentration: Marketing, Leadership
Schools: University of Dhaka - Class of 2010
GPA: 3.63
WE: Business Development (Consumer Products)
In the rectangular coordinate system above, for which of the  [#permalink]

Show Tags

New post Updated on: 21 Jul 2014, 11:25
2
18
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

82% (01:16) correct 18% (01:12) wrong based on 541 sessions

HideShow timer Statistics

Attachment:
Untitled.png
Untitled.png [ 19.84 KiB | Viewed 17869 times ]
In the rectangular coordinate system above, for which of the shaded regions is the area 2?

A. None
B. Q Only
C. Q and R
D. P, Q and R only
E. P, Q, R and S

Attachment:
Clips.jpg
Clips.jpg [ 34.76 KiB | Viewed 22097 times ]

_________________
Practice Makes a Man Perfect. Practice. Practice. Practice......Perfectly

Critical Reasoning: http://gmatclub.com/forum/best-critical-reasoning-shortcuts-notes-tips-91280.html

Collections of MGMAT CAT: http://gmatclub.com/forum/collections-of-mgmat-cat-math-152750.html

MGMAT SC SUMMARY: http://gmatclub.com/forum/mgmat-sc-summary-of-fourth-edition-152753.html

Sentence Correction: http://gmatclub.com/forum/sentence-correction-strategies-and-notes-91218.html

Arithmatic & Algebra: http://gmatclub.com/forum/arithmatic-algebra-93678.html

Helpful Geometry formula sheet: http://gmatclub.com/forum/best-geometry-93676.html


I hope these will help to understand the basic concepts & strategies. Please Click ON KUDOS Button.

Originally posted by monirjewel on 22 Nov 2010, 06:29.
Last edited by Bunuel on 21 Jul 2014, 11:25, edited 1 time in total.
Edited the question
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 57281
In the rectangular coordinate system above, for which of the  [#permalink]

Show Tags

New post 22 Nov 2010, 07:56
1
4
Image
In the rectangular coordinate system above, for which of the shaded regions is the area 2?

A. None
B. Q Only
C. Q and R
D. P, Q and R only
E. P, Q, R and S

The area of a rectangle equals to \(area=width*length\);

The area of a triangle equals to \(area=\frac{1}{2}*base*height\) (also the area of a square=diagonal^2/2);

Now it's easy to calculate the areas of given figure:
\(area_P=\frac{1}{2}*4*1=2\);
\(area_Q=1*2=2\);
\(area_R=\frac{2^2}{2}=2\);
\(area_S=\frac{1}{2}*3*1=1.5\).

Answer: D.
_________________
General Discussion
Manager
Manager
avatar
Joined: 13 Jul 2011
Posts: 83
Concentration: Operations, Strategy
GMAT 1: 680 Q46 V37
WE: Engineering (Telecommunications)
Re: In the rectangular coordinate system above, for which of the  [#permalink]

Show Tags

New post 20 Oct 2011, 22:26
1
1
1
Area of a triangle = 1/2 * Base * Height,
from the graph we can find out length of base and height of the triangles and rectangles.
P: Base = 4 Height = 1 Area = 1/2 (4)(1) = 2
Q: Base = 1 Height = 2 Area = Base * Height = 1 * 2 = 2
R: For a rhombus area can be calculated using the value of the diagonals ( D1 * D2 ) / 2
i:e (2*2)/2 = 2
S: Base = 3 Height = 1 Area = 1/2 (3)(1) = 1.5

So answer is D :)
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 57281
Re: In the rectangular coordinate system above, for which of the  [#permalink]

Show Tags

New post 06 Mar 2014, 02:34
Manager
Manager
User avatar
Joined: 25 Sep 2012
Posts: 234
Location: India
Concentration: Strategy, Marketing
GMAT 1: 660 Q49 V31
GMAT 2: 680 Q48 V34
GMAT ToolKit User Reviews Badge
Re: In the rectangular coordinate system above, for which of the  [#permalink]

Show Tags

New post 04 May 2014, 03:05
Bunuel wrote:
In the rectangular coordinate system above, for which of the shaded regions is the area 2?

A. None
B. Q Only
C. Q and R
D. P, Q and R
E. P, Q, R and S

The area of a rectangle equals to \(area=width*length\);

The area of a triangle equals to \(area=\frac{1}{2}*base*height\) (also the area of a square=diagonal^2/2);

Now it's easy to calculate the areas of given figure:
\(area_P=\frac{1}{2}*4*1=2\);
\(area_Q=1*2=2\);
\(area_R=\frac{2^2}{2}=2\);
\(area_S=\frac{1}{2}*3*1=1.5\).

Answer: D.





Hey Bunuel, How did you find the area of R? Did you divide it into two triangles?
And just for curiosity is that figure a square?

I got the right answer as I figured out the area of other three and the only option suitable was D
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 57281
Re: In the rectangular coordinate system above, for which of the  [#permalink]

Show Tags

New post 04 May 2014, 03:14
2
2
b2bt wrote:
Bunuel wrote:
In the rectangular coordinate system above, for which of the shaded regions is the area 2?

A. None
B. Q Only
C. Q and R
D. P, Q and R
E. P, Q, R and S

The area of a rectangle equals to \(area=width*length\);

The area of a triangle equals to \(area=\frac{1}{2}*base*height\) (also the area of a square=diagonal^2/2);

Now it's easy to calculate the areas of given figure:
\(area_P=\frac{1}{2}*4*1=2\);
\(area_Q=1*2=2\);
\(area_R=\frac{2^2}{2}=2\);
\(area_S=\frac{1}{2}*3*1=1.5\).

Answer: D.





Hey Bunuel, How did you find the area of R? Did you divide it into two triangles?
And just for curiosity is that figure a square?

I got the right answer as I figured out the area of other three and the only option suitable was D


Yes, it's a square because its diagonals are equal and perpendicular bisectors of each other. The area of a square=diagonal^2/2.

Does this make sense?

P.S. \(area_{square}=\frac{d^2}{2}\) and \(area_{rhombus}=\frac{d_1*d_2}{2}\).
_________________
Intern
Intern
avatar
Joined: 20 May 2014
Posts: 32
Re: In the rectangular coordinate system above, for which of the  [#permalink]

Show Tags

New post 21 Jul 2014, 10:54
Bunuel wrote:
b2bt wrote:
Bunuel wrote:
In the rectangular coordinate system above, for which of the shaded regions is the area 2?

A. None
B. Q Only
C. Q and R
D. P, Q and R
E. P, Q, R and S

The area of a rectangle equals to \(area=width*length\);

The area of a triangle equals to \(area=\frac{1}{2}*base*height\) (also the area of a square=diagonal^2/2);

Now it's easy to calculate the areas of given figure:
\(area_P=\frac{1}{2}*4*1=2\);
\(area_Q=1*2=2\);
\(area_R=\frac{2^2}{2}=2\);
\(area_S=\frac{1}{2}*3*1=1.5\).

Answer: D.





Hey Bunuel, How did you find the area of R? Did you divide it into two triangles?
And just for curiosity is that figure a square?

I got the right answer as I figured out the area of other three and the only option suitable was D


Yes, it's a square because its diagonals are equal and perpendicular bisectors of each other. The area of a square=diagonal^2/2.

Does this make sense?

P.S. \(area_{square}=\frac{d^2}{2}\) and \(area_{rhombus}=\frac{d_1*d_2}{2}\).


Bunuel for calculating area of R : how did you get 2^2 /2 , where is 2 coming from? Can you explain the counting of boxes?

same question for S and Q
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 57281
Re: In the rectangular coordinate system above, for which of the  [#permalink]

Show Tags

New post 21 Jul 2014, 11:30
sagnik2422 wrote:
Bunuel wrote:
Bunuel wrote:
In the rectangular coordinate system above, for which of the shaded regions is the area 2?

A. None
B. Q Only
C. Q and R
D. P, Q and R
E. P, Q, R and S

The area of a rectangle equals to \(area=width*length\);

The area of a triangle equals to \(area=\frac{1}{2}*base*height\) (also the area of a square=diagonal^2/2);

Now it's easy to calculate the areas of given figure:
\(area_P=\frac{1}{2}*4*1=2\);
\(area_Q=1*2=2\);
\(area_R=\frac{2^2}{2}=2\);
\(area_S=\frac{1}{2}*3*1=1.5\).

Answer: D.




Yes, it's a square because its diagonals are equal and perpendicular bisectors of each other. The area of a square=diagonal^2/2.

Does this make sense?

P.S. \(area_{square}=\frac{d^2}{2}\) and \(area_{rhombus}=\frac{d_1*d_2}{2}\).


Bunuel for calculating area of R : how did you get 2^2 /2 , where is 2 coming from? Can you explain the counting of boxes?

same question for S and Q


Image
R is a square --> the area of a square=diagonal^2/2 --> diagonal of R = 2 --> area = 2^2/2.

Q is a rectangle --> the area = length*width = 1*2.

S is a triangle --> the area = 1/2*base*height = 1/2*3*1 (consider vertical side as base).

Hope it's clear.
_________________
Intern
Intern
avatar
Joined: 20 May 2014
Posts: 32
Re: In the rectangular coordinate system above, for which of the  [#permalink]

Show Tags

New post 21 Jul 2014, 13:07
Great explanation, but how can I see that diagonal of R is 2? (like can you possibly label this on the diagram or give coordinates) also, I don't see how the width is 2 for the rectangle.

Sorry for the bother.
Intern
Intern
avatar
Joined: 20 May 2014
Posts: 32
Re: In the rectangular coordinate system above, for which of the  [#permalink]

Show Tags

New post 21 Jul 2014, 13:08
also how is the height 1 for S?
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 57281
Re: In the rectangular coordinate system above, for which of the  [#permalink]

Show Tags

New post 21 Jul 2014, 13:12
Director
Director
User avatar
V
Joined: 06 Jan 2015
Posts: 696
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Premium Member
Re: In the rectangular coordinate system above, for which of the  [#permalink]

Show Tags

New post 24 Jan 2017, 07:35
monirjewel wrote:
Attachment:
Untitled.png
In the rectangular coordinate system above, for which of the shaded regions is the area 2?

A. None
B. Q Only
C. Q and R
D. P, Q and R only
E. P, Q, R and S

Attachment:
Clips.jpg


Hi,

By using logic, Calculate the area of P=(1/2)bh=>(1/2)(4)(1)=>2

Now see the options and quickly eliminate A,B,C (doesn't contain P)

Now calculate Are of S=(1/2)(3)(1) is not equal to 2 hence eliminate E

Ans:D
_________________
आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution
Manager
Manager
avatar
B
Joined: 16 May 2018
Posts: 85
Location: Hungary
Schools: Queen's MBA'20
Re: In the rectangular coordinate system above, for which of the  [#permalink]

Show Tags

New post 25 Jun 2019, 01:57
R is a square --> the area of a square=diagonal^2/2 --> diagonal of R = 2 --> area = 2^2/2.

About this, how did u figure that 2 is a diagonal and not a side length of square?
Director
Director
User avatar
P
Joined: 14 Feb 2017
Posts: 940
Location: Australia
Concentration: Technology, Strategy
Schools: LBS '22
GMAT 1: 560 Q41 V26
GMAT 2: 550 Q43 V23
GMAT 3: 650 Q47 V33
GMAT 4: 650 Q44 V36
WE: Management Consulting (Consulting)
Reviews Badge CAT Tests
Re: In the rectangular coordinate system above, for which of the  [#permalink]

Show Tags

New post 19 Jul 2019, 19:00
1
People can be confused over R.

Use a right triangle to articulate side length of square R as per my diagram.
Attachments

Capture.JPG
Capture.JPG [ 47.76 KiB | Viewed 599 times ]


_________________
Goal: Q49, V41

+1 Kudos if you like my post pls!
GMAT Club Bot
Re: In the rectangular coordinate system above, for which of the   [#permalink] 19 Jul 2019, 19:00
Display posts from previous: Sort by

In the rectangular coordinate system above, for which of the

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne