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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 ## What is the perimeter of one such smaller square? tagged by: swerve ##### This topic has 2 expert replies and 0 member replies ### Top Member ## What is the perimeter of one such smaller square? The figure above is a square divided into four identical squares. If the perimeter of the larger square is 1, then what is the perimeter of one such smaller square? A. 1/16 B. 1/6 C. 1/4 D. 1/2 E. 3/4 The OA is D. Please, can any expert explain this PS question for me? I have many difficulties to understand why that is the correct answer. Thanks. ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12534 messages Followed by: 1245 members Upvotes: 5254 GMAT Score: 770 swerve wrote: The figure above is a square divided into four identical squares. If the perimeter of the larger square is 1, then what is the perimeter of one such smaller square? A. 1/16 B. 1/6 C. 1/4 D. 1/2 E. 3/4 The OA is D. Since all 4 sides of a square are EQUAL length, the perimeter = 4(side length) GIVEN: the perimeter of the larger square is 1 So, 4(side length) = 1 Divide both sides by 4 to get: side length of LARGE square = 1/4 So, the ONE SMALLER square has a side length of 1/8 (since 2 small square sides = the length of the large square side) What is the perimeter of one such smaller square? Perimeter = 4(side length) = (4)(1/8) = 4/8 = 1/2 Answer: C Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our free resources Last edited by Brent@GMATPrepNow on Mon Apr 16, 2018 12:56 pm; edited 1 time in total GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 09 Apr 2015 Posted: 1461 messages Followed by: 17 members Upvotes: 39 swerve wrote: The figure above is a square divided into four identical squares. If the perimeter of the larger square is 1, then what is the perimeter of one such smaller square? A. 1/16 B. 1/6 C. 1/4 D. 1/2 E. 3/4 Since the perimeter of the larger square is 1, each side is 1/4. Thus, each side of each smaller square is (1/4)/2 = 1/8. Finally the perimeter of one of the smaller squares is 4 x 1/8 = 1/2. Answer: D _________________ Jeffrey Miller Head of GMAT Instruction • 5-Day Free Trial 5-day free, full-access trial TTP Quant 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 Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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