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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote In the rectangular coordinate (OG16) This topic has 3 expert replies and 0 member replies In the rectangular coordinate (OG16) 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 OA: B GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10197 messages Followed by: 497 members Upvotes: 2867 GMAT Score: 800 Hi boomgoesthegmat, From the diagram, we know that the base of triangle ORP = 4. We also know that it's area = 12, so we can combine those two pieces of information to find the height of the triangle (and by extension, the Y co-ordinate of point R). Area = (1/2)(base)(height) 12 = (1/2)(4)(height) 12 = 2(height) 6 = height Final Answer: B GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2950 messages Followed by: 19 members Upvotes: 43 boomgoesthegmat wrote: 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 point P lies at (4,0) and point R lies on the y-axis. Thus, we see that we have a right triangle with one vertex at point P, another at coordinate (0,0), and the other at point R. Thus, the base of the triangle is 4, and the height is the y-coordinate of point R. Since we know the area of the triangle is 12, we can create the following equation in which y = the y-coordinate of point R. area = (base x height)/2 12 = 4y/2 24 = 4y 6 = y Answer: B _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Quote: 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 Hi boomgoesthegmat, Let's take a look at your question. The coordinates of P are (4, 0), therefore, $$OP=4$$ Area of triangle ORP = 12 We know that: Area of a triangle = (1/2) * (Base) * (Height) $$Area=\frac{1}{2}\cdot OQ\cdot OP$$ $$12=\frac{1}{2}\cdot OQ\cdot4$$ $$12=OQ\cdot2$$ $$OQ=\frac{12}{2}$$ $$OQ=6$$ So the y-coordinate of Q is 6. Therefore, Option B is correct. Hope it helps. I am available if you'd like any follow up. _________________ GMAT Prep From The Economist We offer 70+ point score improvement money back guarantee. Our average student improves 98 points. Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now. • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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