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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 a rectangular coordinate syste, what is the are of a... tagged by: AAPL ##### This topic has 2 expert replies and 0 member replies ### Top Member ## In a rectangular coordinate syste, what is the are of a... In a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates (-4, 1), (1, 1), (1, -3) and (-4, -3)? A. 16 B. 20 C. 24 D. 25 E. 30 The OA is B. Experts, I need a suggestion about how can I solve this PS question. I have an idea but I think that it's the long way, it is the following, I can take one vertex of the rectangle like reference and determinate the distance between it and 2 of the vertices that converge with it, then this two distances can be the long and width of the renctangle, right? and once with it I can determinate the rectangle's area. Thanks! ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 2008 messages Followed by: 31 members Upvotes: 470 AAPL wrote: In a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates (-4, 1), (1, 1), (1, -3) and (-4, -3)? A. 16 B. 20 C. 24 D. 25 E. 30 The OA is B. Experts, I need a suggestion about how can I solve this PS question. I have an idea but I think that it's the long way, it is the following, I can take one vertex of the rectangle like reference and determinate the distance between it and 2 of the vertices that converge with it, then this two distances can be the long and width of the renctangle, right? and once with it I can determinate the rectangle's area. Thanks! Hi, What you described would work. The rectangle would have a length of |-4| + 1 = 5 and the width of |-3| + 1 = 4. Thus, the area of the rectangle = 5*4 = 20 sq unit. The correct answer: B Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: New Haven | Doha | Stockholm | Pretoria | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Quote: In a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates (-4, 1), (1, 1), (1, -3) and (-4, -3)? A. 16 B. 20 C. 24 D. 25 E. 30 The OA is B. Hi AAPL, Let's take a look at your question. The co-ordinates of the rectangle are given as (-4, 1), (1, 1), (1, -3) and (-4, -3) If we take the first two coordinates (-4, 1), (1, 1), We can see that their y coordinate the the same it means that these two points will form a horizontal line, which will give us the length of the rectangle. $$Length\ =\ \left|-4-1\right|=\left|-5\right|=5$$ Similarly, now choose any two points that have same x coordinate to find the width of the rectangle. We can take (1, 1), (1, -3) These two points represent a vertical line. $$Width\ =\ \left|1-\left(-3\right)\right|=\left|1+3\right|=\left|4\right|=4$$ Now we can find the area of the rectangle. $$Area=Length\times Width$$ $$Area=5\times4=20$$ 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 Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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