GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 19 Feb 2020, 21:51 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # In the rectangular coordinate system above, if point R (not

Author Message
TAGS:

### Hide Tags

Manager  Joined: 02 Dec 2012
Posts: 173
In the rectangular coordinate system above, if point R (not  [#permalink]

### Show Tags

4
10 00:00

Difficulty:   5% (low)

Question Stats: 92% (00:52) correct 8% (00:49) wrong based on 1189 sessions

### HideShow timer Statistics

Attachment: OPR.png [ 3.26 KiB | Viewed 20717 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
Math Expert V
Joined: 02 Sep 2009
Posts: 61302
Re: In the rectangular coordinate system above, if point R (not  [#permalink]

### Show Tags

1
1 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 19177 times ]
The area of triangle OPR is 1/2*base*height=1/2*OP*OR=1/2*4*OR=12 --> OR=6.

_________________
Target Test Prep Representative G
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2801
Re: In the rectangular coordinate system above, if point R (not  [#permalink]

### Show Tags

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

Jeff@TargetTestPrep.com

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Manager  S
Status: On a 600-long battle
Joined: 21 Apr 2016
Posts: 135
Location: Hungary
Schools: Erasmus '19
GMAT 1: 410 Q18 V27 GMAT 2: 490 Q35 V23
Re: In the rectangular coordinate system above, if point R (not  [#permalink]

### Show Tags

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|
Math Expert V
Joined: 02 Sep 2009
Posts: 61302
Re: In the rectangular coordinate system above, if point R (not  [#permalink]

### Show Tags

1
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.
_________________
Manager  G
Joined: 12 Jun 2016
Posts: 202
Location: India
WE: Sales (Telecommunications)
Re: In the rectangular coordinate system above, if point R (not  [#permalink]

### Show Tags

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!
Intern  B
Joined: 29 Dec 2016
Posts: 11
Re: In the rectangular coordinate system above, if point R (not  [#permalink]

### Show Tags

The y coordinate will be (Y,0)

X coordinate of the triangle is 4,0

Base =4

1/2*4*h=12

h=6

Retired Moderator P
Joined: 19 Mar 2014
Posts: 912
Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.5
Re: In the rectangular coordinate system above, if point R (not  [#permalink]

### Show Tags

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, $$y co-ordinate = 6$$

_________________
"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."

Best AWA Template: https://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html#p470475
Non-Human User Joined: 09 Sep 2013
Posts: 14102
Re: In the rectangular coordinate system above, if point R (not  [#permalink]

### Show Tags

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, if point R (not   [#permalink] 22 Jan 2020, 06:58
Display posts from previous: Sort by

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