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

 It is currently 18 Feb 2019, 06:25

### 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

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

## Events & Promotions

###### Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Valentine's day SALE is on! 25% off.

February 18, 2019

February 18, 2019

10:00 PM PST

11:00 PM PST

We don’t care what your relationship status this year - we love you just the way you are. AND we want you to crush the GMAT!
• ### Get FREE Daily Quiz for 2 months

February 18, 2019

February 18, 2019

10:00 PM PST

11:00 PM PST

Buy "All-In-One Standard (\$149)", get free Daily quiz (2 mon). Coupon code : SPECIAL

# In the rectangular coordinate system above, the area of tria

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52935
In the rectangular coordinate system above, the area of tria  [#permalink]

### Show Tags

07 Feb 2014, 04:53
13
00:00

Difficulty:

5% (low)

Question Stats:

87% (01:03) correct 13% (01:19) wrong based on 843 sessions

### HideShow timer Statistics

The Official Guide For GMAT® Quantitative Review, 2ND Edition

Attachment:

Untitled.png [ 17.05 KiB | Viewed 17208 times ]
In the rectangular coordinate system above, the area of triangle RST is

(A) bc/2
(B) b(c-1)/2
(C) c(b-1)/2
(D) a(c-1)/2
(E) c(a-1)/2

Problem Solving
Question: 85
Category: Geometry Simple-coordinate geometry
Page: 72
Difficulty: 600

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 52935
Re: In the rectangular coordinate system above, the area of tria  [#permalink]

### Show Tags

07 Feb 2014, 04:53
5
5

In the rectangular coordinate system above, the area of triangle RST is

(A) bc/2
(B) b(c-1)/2
(C) c(b-1)/2
(D) a(c-1)/2
(E) c(a-1)/2

The area of a triangle is 1/2*(base)(height):

(base) = c - 1 (the difference between the x-coordinates of points T and R).

(height) = b (the "height", the y-coordinate, of point S).

Therefore, the area is 1/2*(base)(height) = 1/2*(c - 1)b.

_________________
##### General Discussion
Director
Joined: 14 Dec 2012
Posts: 747
Location: India
Concentration: General Management, Operations
GMAT 1: 700 Q50 V34
GPA: 3.6
Re: In the rectangular coordinate system above, the area of tria  [#permalink]

### Show Tags

07 Feb 2014, 07:12
1
Area of triangle = 1/2 base*height
base = c-1
height = y co-ordinate of S = b
therefore area =$$((c-1)b)/2$$

hence OA should be = B
_________________

When you want to succeed as bad as you want to breathe ...then you will be successfull....

GIVE VALUE TO OFFICIAL QUESTIONS...

learn AWA writing techniques while watching video : http://www.gmatprepnow.com/module/gmat-analytical-writing-assessment

Senior Manager
Joined: 25 Feb 2010
Posts: 341
Re: In the rectangular coordinate system above, the area of tria  [#permalink]

### Show Tags

07 Feb 2014, 08:03
1
IMO - B

base = c-1
y = b
therefore area =((c-1)b)/2
_________________

GGG (Gym / GMAT / Girl) -- Be Serious

Its your duty to post OA afterwards; some one must be waiting for that...

Manager
Joined: 11 Jan 2014
Posts: 87
Concentration: Finance, Statistics
GMAT Date: 03-04-2014
GPA: 3.77
WE: Analyst (Retail Banking)
Re: In the rectangular coordinate system above, the area of tria  [#permalink]

### Show Tags

07 Feb 2014, 12:14
Area of a triangle is given by: (Base * Height)/2

Base is measured by length on the x-axis, thus, c-1. Height is measured by the vertical axis y, so, coordinate b from point S.
Hence, b(c-1)/2, which is (B).
Math Expert
Joined: 02 Sep 2009
Posts: 52935
Re: In the rectangular coordinate system above, the area of tria  [#permalink]

### Show Tags

08 Feb 2014, 04:03
2

In the rectangular coordinate system above, the area of triangle RST is

(A) bc/2
(B) b(c-1)/2
(C) c(b-1)/2
(D) a(c-1)/2
(E) c(a-1)/2

The area of a triangle is 1/2*(base)(height):

(base) = c - 1 (the difference between the x-coordinates of points T and R).

(height) = b (the "height", the y-coordinate, of point S).

Therefore, the area is 1/2*(base)(height) = 1/2*(c - 1)b.

_________________
Director
Joined: 24 Nov 2015
Posts: 507
Location: United States (LA)
Re: In the rectangular coordinate system above, the area of tria  [#permalink]

### Show Tags

21 Jun 2016, 00:04
Area of triangle = $$\frac{1}{2}$$ * base * height
Base is (c-1) for given triangle
Height is b for given triangle
Area = $$\frac{1}{2}$$ * b * (c-1)

Non-Human User
Joined: 09 Sep 2013
Posts: 9837
Re: In the rectangular coordinate system above, the area of tria  [#permalink]

### Show Tags

06 Oct 2018, 01:20
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: In the rectangular coordinate system above, the area of tria   [#permalink] 06 Oct 2018, 01:20
Display posts from previous: Sort by