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

It is currently 22 Jan 2019, 09:24

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 in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • The winners of the GMAT game show

     January 22, 2019

     January 22, 2019

     10:00 PM PST

     11:00 PM PST

    In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.
  • Key Strategies to Master GMAT SC

     January 26, 2019

     January 26, 2019

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

The figure above shows a rectangular parcel of undeveloped land partit

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

Hide Tags

 
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3334
Location: India
GPA: 3.12
Premium Member CAT Tests
The figure above shows a rectangular parcel of undeveloped land partit  [#permalink]

Show Tags

New post Updated on: 02 Nov 2018, 02:58
1
3
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

94% (01:33) correct 6% (02:48) wrong based on 35 sessions

HideShow timer Statistics

Image
The figure above shows a rectangular parcel of undeveloped land partitioned into four regions, P, Q, R, and S. In square meters, the area of square region Q is x^2, the area of rectangular region R is 5x, and the area of rectangular region P is 4x. What is the area, in square meters, of rectangular region S?


A. \((x^2) - x\)

B. \((x^2) + 9x\)

C. \(20x - (x^2)\)

D. \(9\)

E. \(20\)

Attachment:
AreaGeometry.PNG
AreaGeometry.PNG [ 3.47 KiB | Viewed 348 times ]

_________________

You've got what it takes, but it will take everything you've got


Originally posted by pushpitkc on 02 Nov 2018, 02:55.
Last edited by Bunuel on 02 Nov 2018, 02:58, edited 1 time in total.
Edited the question.
Manager
Manager
avatar
G
Joined: 14 Jun 2018
Posts: 223
Re: The figure above shows a rectangular parcel of undeveloped land partit  [#permalink]

Show Tags

New post 02 Nov 2018, 06:41
1
Area of Q = \(x^2\) ; Side = x
Area of R = 5x = x * length ; length of R = 5
Area of P = 4x = x * width ; width of P = 4

Area of the entire plot =\((x+4) * (x+5) = x^2 + 9x + 20\)

Area of S = \(x^2 + 9x + 20 - x^2 - 5x - 4x = 20\)
Orion Representative
User avatar
S
Joined: 26 Jul 2010
Posts: 343
Re: The figure above shows a rectangular parcel of undeveloped land partit  [#permalink]

Show Tags

New post 02 Nov 2018, 12:54
Top Contributor
Just adding on an alternate method to what pandeyashwin did...if the algebra intimidates you, keep in mind that one helpful technique on any geometry problem its o just draw the shape and label it. If you do that:

1) Notice that the upper left panel (Q) is a square with area x^2, so each side of it is x.

2) Then since R has an area of 5x and you know that its vertical height is the same as the height of Q, so its height is x, then its other dimension is 5.

3) Same logic for P. You know its horizontal width is the same as Q so also x, so its horizontal width must be 4 in order for its area to be 4x.

That leaves you with this diagram in the end:

Attachment:
SubdividedRectangle.png
SubdividedRectangle.png [ 13.53 KiB | Viewed 226 times ]


Note then that you know the dimensions of S: it has a height of 4 and a width of 5, so its area is 4 * 5 = 20.
_________________

Brian

Curriculum Developer, Instructor, and Host of Veritas Prep On Demand

Save $100 on live Veritas Prep GMAT Courses and Admissions Consulting

Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options.

Veritas Prep Reviews

GMAT Club Bot
Re: The figure above shows a rectangular parcel of undeveloped land partit &nbs [#permalink] 02 Nov 2018, 12:54
Display posts from previous: Sort by

The figure above shows a rectangular parcel of undeveloped land partit

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.