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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 system above... tagged by: BTGmoderatorLU ##### This topic has 1 expert reply and 0 member replies ### Top Member ## In the rectangular coordinate system above... In the rectangular corrdinate system above, for which of the shaded regions is the area 2? A. None B. Q Only C. Q and R D. P, Q and R only E. P, Q, R and S The OA is D. I should determine single each area, for example, for the triangular regions will be 1/2*B*H (where B is the base and H the height of the triangle), and for the rectangular region will be L*W (where L is the long and W the width of the rectangle), and for the square region will be L^2, right? My question, is there another way (fast way) to solve this PS question? Experts, can you assist me with it? Thanks in advanced. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Top Reply Hello LUANDATO. You have to calculate each area. You're right about what you're thinking. The triangle P. $$Base=4,\ Height=1\ \ \ then\ \ \ Area=\frac{4\cdot1}{2}=2.$$ The rectangle Q. $$Length\ =1,\ Width=2\ \ \ then\ \ \ Area=1\cdot2=2.$$ The scuare R. The side is the hypotenuse of a right triangle with cathetus equals to 1. So $$L=\sqrt{2},\ then\ \ \ \ Area=\left(\sqrt{2}\right)^2=2.$$ Finally, the triangle S. $$Base=3,\ Height\ =1,\ \ \ then\ \ \ Area\ =\frac{3\cdot1}{2}=\frac{3}{2}=1.5.$$ In conlcusion, the correct answer is D. I hope this explanation may help you. Feel free to ask me again if you have a doubt. Regards. _________________ 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. • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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