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

It is currently 22 May 2019, 04:53

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

Point A in the xy-coordinate system is shown below. Given two other po

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55228
Point A in the xy-coordinate system is shown below. Given two other po  [#permalink]

Show Tags

New post 23 Aug 2018, 22:59
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

75% (01:51) correct 25% (02:20) wrong based on 69 sessions

HideShow timer Statistics

VP
VP
User avatar
D
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1008
WE: Supply Chain Management (Energy and Utilities)
Premium Member
Point A in the xy-coordinate system is shown below. Given two other po  [#permalink]

Show Tags

New post 23 Aug 2018, 23:08
Bunuel wrote:
Image
Point A in the xy-coordinate system is shown below. Given two other points B (4a, b) and C (2a, 5b), what is the area of triangle ABC in terms of a and b?


A. 7ab/2

B. 9ab/2

C. 15ab/2

D. 4ab

E. 6ab


Attachment:
GMAT_PS_Magoosh_24000.png


Co-ordinate of the vertices of the triangle ABC are A (a,b), B (4a, b) and C (2a, 5b).

We need base and height in order to determine area of a triangle.

Base=AB=4a-a=3a (Since y-position is constant)
height=5b-b=4b (Distance between point C and intersection point of height with base, since x-position remains constant ,we can substract the y-positions of the two points to get the height)

So, \(Area=\frac{1}{2}*3a*4b=6ab\)

Ans. (E)
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 14188
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: Point A in the xy-coordinate system is shown below. Given two other po  [#permalink]

Show Tags

New post 19 Mar 2019, 20:47
Hi All,

We're told that Point A is in the xy-coordinate system as shown - and that two other points B (4a, b) and C (2a, 5b) are also in the system. We're asked for the AREA of triangle ABC in terms of a and b. This question can be approached in a couple of different ways, including by TESTing VALUES.

IF...
a = 1, b = 1, then the three co-ordinates are....
(1,1), (4, 1) and (2, 5)

This means that the 'base' of the triangle is 3 (it's the distance between (1,1) and (4,1) and the 'height' is 4 (it's the distance between (2,5) and the 'base'). Thus, the area of the triangle is...

Area = (1/2)(base)(height) = (1/2)(3)(4) = 6

Thus, we're looking for an answer that equals 6 when a=1 and b=1. There's only one answer that matches...

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/
GMAT Club Bot
Re: Point A in the xy-coordinate system is shown below. Given two other po   [#permalink] 19 Mar 2019, 20:47
Display posts from previous: Sort by

Point A in the xy-coordinate system is shown below. Given two other po

  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®.