In the rectangular coordinate system above, if point R (not : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 27 Feb 2017, 15:44

### 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

Author Message
TAGS:

### Hide Tags

Manager
Joined: 02 Dec 2012
Posts: 178
Followers: 5

Kudos [?]: 2446 [2] , given: 0

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

### Show Tags

27 Dec 2012, 05:18
2
KUDOS
1
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

89% (01:37) correct 11% (00:30) wrong based on 931 sessions

### HideShow timer Statistics

Attachment:

OPR.png [ 3.26 KiB | Viewed 10102 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
Math Expert
Joined: 02 Sep 2009
Posts: 37144
Followers: 7271

Kudos [?]: 96805 [1] , given: 10786

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

### Show Tags

27 Dec 2012, 05:22
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 9400 times ]
The area of triangle OPR is 1/2*base*height=1/2*OP*OR=1/2*4*OR=12 --> OR=6.

_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13991
Followers: 592

Kudos [?]: 168 [1] , given: 0

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

### Show Tags

30 Jul 2014, 17:15
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.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13991
Followers: 592

Kudos [?]: 168 [1] , given: 0

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

### Show Tags

12 Sep 2015, 00:08
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.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 37144
Followers: 7271

Kudos [?]: 96805 [1] , given: 10786

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

### Show Tags

02 Feb 2017, 04:55
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.
_________________
Director
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 595
Followers: 24

Kudos [?]: 256 [0], given: 2

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

### Show Tags

13 Jul 2016, 06:43
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.

_________________

Jeffrey Miller
Jeffrey Miller

Manager
Joined: 21 Apr 2016
Posts: 79
GMAT 1: 410 Q18 V27
Followers: 0

Kudos [?]: 10 [0], given: 211

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

### Show Tags

01 Feb 2017, 21:42
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!
Re: In the rectangular coordinate system above, if point R (not   [#permalink] 01 Feb 2017, 21:42
Similar topics Replies Last post
Similar
Topics:
4 In the rectangular coordinate system shown above, points O, P, and Q r 3 23 Jun 2016, 11:15
17 In the rectangular coordinate system above, for which of the 13 22 Nov 2010, 05:29
17 In the rectangular coordinate system above the area of 8 22 Nov 2010, 05:27
43 In a rectangular coordinate system, point A has coordinates 19 20 Aug 2010, 13:30
145 In the rectangular coordinate system above, the area of 25 08 Jul 2009, 16:11
Display posts from previous: Sort by