It is currently 24 Sep 2017, 18:06

### 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 June
Open Detailed Calendar

# In the rectangular coordinate system above, if point R (not

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

### Hide Tags

Manager
Joined: 02 Dec 2012
Posts: 178

Kudos [?]: 3333 [2], given: 0

In the rectangular coordinate system above, if point R (not [#permalink]

### Show Tags

27 Dec 2012, 06:18
2
KUDOS
2
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

89% (00:38) correct 11% (00:30) wrong based on 1235 sessions

### HideShow timer Statistics

Attachment:

OPR.png [ 3.26 KiB | Viewed 12980 times ]
In the rectangular coordinate system above, if point R (not shown) lies on the positive y-axis and the area of triangle ORP is 12, what is the y-coordinate of point R?

(A) 3
(B) 6
(C) 9
(D) 12
(E) 24
[Reveal] Spoiler: OA

Kudos [?]: 3333 [2], given: 0

Math Expert
Joined: 02 Sep 2009
Posts: 41699

Kudos [?]: 124810 [1], given: 12079

Re: In the rectangular coordinate system above, if point R (not [#permalink]

### Show Tags

27 Dec 2012, 06:22
1
KUDOS
Expert's post
1
This post was
BOOKMARKED

In the rectangular coordinate system above, if point R (not shown) lies on the positive y-axis and the area of triangle ORP is 12, what is the y-coordinate of point R?

(A) 3
(B) 6
(C) 9
(D) 12
(E) 24

We are told that point R is above zero on the y-axis, so its coordinates are (y,0):
Attachment:

OPR2.png [ 6.1 KiB | Viewed 12015 times ]
The area of triangle OPR is 1/2*base*height=1/2*OP*OR=1/2*4*OR=12 --> OR=6.

_________________

Kudos [?]: 124810 [1], given: 12079

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 17660

Kudos [?]: 272 [1], given: 0

Re: In the rectangular coordinate system above, if point R (not [#permalink]

### Show Tags

30 Jul 2014, 18:15
1
KUDOS
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.
_________________

Kudos [?]: 272 [1], given: 0

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 17660

Kudos [?]: 272 [1], given: 0

Re: In the rectangular coordinate system above, if point R (not [#permalink]

### Show Tags

12 Sep 2015, 01:08
1
KUDOS
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.
_________________

Kudos [?]: 272 [1], given: 0

Math Expert
Joined: 02 Sep 2009
Posts: 41699

Kudos [?]: 124810 [1], given: 12079

Re: In the rectangular coordinate system above, if point R (not [#permalink]

### Show Tags

02 Feb 2017, 05:55
1
KUDOS
Expert's post
diegocml wrote:
Hi @Bunnel,

Is it correct to say that the reason why we don't need to use the 'distance between 2 points' formula to get the base in this exercise is because the 2 points lay on the coordinate lines, and not on the coordinate plane? Thanks!

We can get the length of OP without the formula but you'd get the same result even if you use it. The fact that OP is on x-axis does not mean that it's not on a plane.
_________________

Kudos [?]: 124810 [1], given: 12079

Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1414

Kudos [?]: 765 [0], given: 5

Re: In the rectangular coordinate system above, if point R (not [#permalink]

### Show Tags

13 Jul 2016, 07:43
Attachment:
OPR.png
In the rectangular coordinate system above, if point R (not shown) lies on the positive y-axis and the area of triangle ORP is 12, what is the y-coordinate of point R?

(A) 3
(B) 6
(C) 9
(D) 12
(E) 24

We are given that a triangle is created using the x- and y-axes of the coordinate plane. The vertices of the triangle fall at point P (4,0), the origin (0,0), and point R (0,y). We see that we do not know the y-coordinate of point R. We can sketch it, as follows:

Given that one vertex falls on point (4,0) and the other vertex on point (0,0), we see that our base is equal to 4.

We are also given that the area of the triangle is 12. Using the formula for the area of a triangle and substituting the known values, we obtain:

area = (base x height)/2

12 = (4 x height)/2

24 = 4 x height

6 = height

The information above tells us that the distance between the origin and point R (which is on the y-axis) is 6. Thus, the y-coordinate of point R is 6.

The answer is B.
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 765 [0], given: 5

Manager
Status: On a 600-long battle
Joined: 22 Apr 2016
Posts: 141

Kudos [?]: 22 [0], given: 392

Location: Hungary
Schools: Erasmus '20
GMAT 1: 410 Q18 V27
GMAT 2: 490 Q35 V23
Re: In the rectangular coordinate system above, if point R (not [#permalink]

### Show Tags

01 Feb 2017, 22:42
Hi @Bunnel,

Is it correct to say that the reason why we don't need to use the 'distance between 2 points' formula to get the base in this exercise is because the 2 points lay on the coordinate lines, and not on the coordinate plane? Thanks!
_________________

"When the going gets tough, the tough gets going!"

|Welcoming tips/suggestions/advices (you name it) to help me achieve a 600|

Kudos [?]: 22 [0], given: 392

Manager
Joined: 12 Jun 2016
Posts: 193

Kudos [?]: 28 [0], given: 114

Location: India
WE: Sales (Telecommunications)
Re: In the rectangular coordinate system above, if point R (not [#permalink]

### Show Tags

12 May 2017, 04:28
I picked the trap answer A here

Once I drew the right angle Triangle and saw 4 as one of the side - Thanks to repeating 3-4-5 - I wrongly concluded the other two sides as 3 and 5. To top it up 4*3 = 12 which is there in the stem as well, just to give a false sense of security!

Sometimes when we rush to get to an answer, we so easily fall into a neatly laid out trap - Just for us!

Attachment:
OPR.png
In the rectangular coordinate system above, if point R (not shown) lies on the positive y-axis and the area of triangle ORP is 12, what is the y-coordinate of point R?

(A) 3
(B) 6
(C) 9
(D) 12
(E) 24

_________________

My Best is yet to come!

Kudos [?]: 28 [0], given: 114

Intern
Joined: 29 Dec 2016
Posts: 13

Kudos [?]: 3 [0], given: 41

Re: In the rectangular coordinate system above, if point R (not [#permalink]

### Show Tags

04 Jun 2017, 01:34
The y coordinate will be (Y,0)

X coordinate of the triangle is 4,0

Base =4

1/2*4*h=12

h=6

Kudos [?]: 3 [0], given: 41

Director
Joined: 19 Mar 2014
Posts: 828

Kudos [?]: 187 [0], given: 169

Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.5
Re: In the rectangular coordinate system above, if point R (not [#permalink]

### Show Tags

30 Jun 2017, 14:29
Attachment:
OPR.png
In the rectangular coordinate system above, if point R (not shown) lies on the positive y-axis and the area of triangle ORP is 12, what is the y-coordinate of point R?

$$Area = \frac{1}{2} * Base * Height$$

$$12 = \frac{1}{2} * Base (OP) * Height (OR)$$

$$12 = \frac{1}{2} * 4 * OR$$

$$12 = 2 * OR$$

$$OR = 6$$

As OR lies on Y axis, co-ordinates of point R will be $$(0,6)$$
Hence, $$y co-ordinate = 6$$

Hence, Answer is B
_________________

Kudos - I hope you liked the post, if you have liked the post, please do not hesitate to show your appreciation and support with a simple click on Kudos, it will make me happy and encourage me to support more people.

"Nothing in this world can take the place of persistence. Talent will not: nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not: the world is full of educated derelicts. Persistence and determination alone are omnipotent."

Kudos [?]: 187 [0], given: 169

Re: In the rectangular coordinate system above, if point R (not   [#permalink] 30 Jun 2017, 14:29
Display posts from previous: Sort by

# In the rectangular coordinate system above, if point R (not

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

 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®.