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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 ## ABCD is a square of perimeter 8, If E is the midpoint... tagged by: swerve ##### This topic has 1 expert reply and 0 member replies ### Top Member ## ABCD is a square of perimeter 8, If E is the midpoint... ABCD is a square of perimeter 8, If E is the midpoint of AD, what is the altitude from E to CD? A. 8 B. 6 C. 4 D. 2 E. 1 The OA is E. 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 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Quote: ABCD is a square of perimeter 8, If E is the midpoint of AD, what is the altitude from E to CD? A. 8 B. 6 C. 4 D. 2 E. 1 The OA is E. Please, can any expert explain this PS question for me? I have many difficulties to understand why that is the correct answer. Thanks. Hi swerve, Let's take a look at your question. The perimeter of square is 8, we know that Perimeter of square = 4 * Length of a side Therefore, 8 = 4 * Length of a side Length of a side = 8/4 = 2 We know that altitude is a perpendicular from a given point to a line. Since E is the midpoint of AD, therefore, an altitude from point E to CD will be ED. It means we need to find the length of altitude ED. We know that E is the mid point of AD, therefore ED will be half the length of AD. $$ED=\frac{1}{2}\left(AD\right)$$ AD is the side of square, therefore, $$ED=\frac{1}{2}\left(2\right)=1$$ Therefore, Option E is correct. Hope it helps. I am 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. • 1 Hour Free BEAT THE GMAT EXCLUSIVE 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 • 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 Veritas GMAT Class Experience Lesson 1 Live Free 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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