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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 ## Geometry tagged by: rawat2583 ##### This topic has 2 expert replies and 0 member replies ### Top Member ## Geometry ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult 3 squares are overlapped one another with the same center shown as above. If all points intersected are midpoints, what fraction of the area of the largest square is the area of the region shaded? A. 1/2 B. 1/3 C. 1/4 D. 1/5 E. 2/3 ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15344 messages Followed by: 1864 members Upvotes: 13060 GMAT Score: 790 Each triangle in the figure above is an isosceles right triangle with sides 1, 1 and âˆš2. Shaded region = 4 triangles. Largest square = 16 triangles. Thus: (shaded region)/(largest square) = 4/16 = 1/4. The correct answer is C. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2791 messages Followed by: 18 members Upvotes: 43 rawat2583 wrote: 3 squares are overlapped one another with the same center shown as above. If all points intersected are midpoints, what fraction of the area of the largest square is the area of the region shaded? A. 1/2 B. 1/3 C. 1/4 D. 1/5 E. 2/3 We can let the side of the largest square be 10. Thus the side of second largest square is 10/2 x âˆš2 = 5âˆš2 and the side of the smallest square is (5âˆš2)/2 x âˆš2 = 5. Now, the area of the largest, second largest and the smallest squares are 10^2 = 100, (5âˆš2)^2 = 50 and 5^2 = 25, respectively. The shaded area is the difference between the area of the second largest and smallest squares, so itâ€™s 50 - 25 = 25. Thus the fraction of the largest square is shaded is 25/100 = 1/4. Answer: C _________________ 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 • Magoosh Study with Magoosh GMAT prep 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 Trial & Practice Exam BEAT THE GMAT EXCLUSIVE 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 • Award-winning private GMAT tutoring Register now and save up to$200

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