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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... tagged by: BTGmoderatorLU ##### This topic has 2 expert replies and 1 member reply ### Top Member ## What is the perimeter... What is the perimeter of a square with area 9p^2/16 ? A. 3p/4 B. 3p^2/4 C. 3p D. 3p^2 E. 4p/3 The OA is C. Can any expert illustrate this with an example please? I don't have it so clear. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Hello LUANDATO. Let's take a look at your question. The area of a square is equal to LÂ² where L is the lenght of the side of the square. So, we have $$L^2=\frac{9P^2}{16},$$ this implies that $$L=\frac{3P}{4}.$$ Now, the perimeter of a square is 4L. It is, $$Perimeter=4L=4\cdot\frac{3P}{4}=3P.$$ So, the correct asnwer is C. I hope this answer can help you. Example: Let be P=2, so the area of the square is A=9*4/16. It implies that the side of the square is equal to 3*2/4. Now, the perimeter is 4*(3*2/4)=3*2. On the other hand, 3*2=3*P. I'm 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. ### Top Member Moderator Joined 15 Oct 2017 Posted: 1103 messages Followed by: 5 members Thank you so much for your help! Now, it's so clear to me! Great, I'll have on mind! ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10197 messages Followed by: 497 members Upvotes: 2867 GMAT Score: 800 Hi LUANDATO, We're told that the area of a SQUARE is (9P^2)/16. We're asked for the PERIMETER of the square. This question can be solved by TESTing VALUES. Since the denominator is 16, we can 'cancel' it out if we make P=4... IF... P=4, then the area of the square is 9(16)/16 = 9. This means that each side of the square = 3. Thus, we're looking for an answer that equals 4(3) = 12 when we plug P=4 into the answer choices. There's only one answer that matches... Final Answer: C GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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