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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 ## A square has an area of (0.027)^(-2/3) square meters. The pe tagged by: fskilnik@GMATH ##### This topic has 2 expert replies and 0 member replies ### GMAT/MBA Expert ## A square has an area of (0.027)^(-2/3) square meters. The pe ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult GMATH practice exercise (Quant Class 12) A square has an area of (0.027)^(-2/3) square meters. The perimeter of this square, in meters, belongs to which of the following intervals? (A) [0,10.5] (B) [10.5, 11.5] (C) [11.5, 12.5] (D) [12.5, 13.5] (E) [13.5, 20] Answer: ___(D)__ _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1449 messages Followed by: 32 members Upvotes: 59 fskilnik@GMATH wrote: GMATH practice exercise (Quant Class 12) A square has an area of (0.027)^(-2/3) square meters. The perimeter of this square, in meters, belongs to which of the following intervals? (A) [0,10.5] (B) [10.5, 11.5] (C) [11.5, 12.5] (D) [12.5, 13.5] (E) [13.5, 20] $$? = 4L$$ $${L^2} = {\left( {{3^3} \cdot {{10}^{ - 3}}} \right)^{ - {2 \over 3}}} = {\left[ {{{\left( {{3^3} \cdot {{10}^{ - 3}}} \right)}^{ - {1 \over 3}}}} \right]^2} = {\left( {{3^{ - 1}} \cdot {{10}^1}} \right)^2}$$ $$L > 0\,\,\, \Rightarrow \,\,\,\,\,L = {3^{ - 1}} \cdot {10^1} = {{10} \over 3}$$ $$? = 4L = {{39 + 1} \over 3} = 13{1 \over 3}\,\,\,\,\, \Rightarrow \,\,\,\,\,\left( {\rm{D}} \right)$$ We follow the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1449 messages Followed by: 32 members Upvotes: 59 fskilnik@GMATH wrote: GMATH practice exercise (Quant Class 12) A square has an area of (0.027)^(-2/3) square meters. The perimeter of this square, in meters, belongs to which of the following intervals? (A) [0,10.5] (B) [10.5, 11.5] (C) [11.5, 12.5] (D) [12.5, 13.5] (E) [13.5, 20] $$? = 4L$$ $${L^2} = {\left( {{3^3} \cdot {{10}^{ - 3}}} \right)^{ - {2 \over 3}}} = {\left[ {{{\left( {{3^3} \cdot {{10}^{ - 3}}} \right)}^{ - {1 \over 3}}}} \right]^2} = {\left( {{3^{ - 1}} \cdot {{10}^1}} \right)^2}$$ $$L > 0\,\,\, \Rightarrow \,\,\,\,\,L = {3^{ - 1}} \cdot {10^1} = {{10} \over 3}$$ $$? = 4L = {{39 + 1} \over 3} = 13{1 \over 3}\,\,\,\,\, \Rightarrow \,\,\,\,\,\left( {\rm{D}} \right)$$ We follow the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE 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 • FREE GMAT Exam Know how you'd score today for$0

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