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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 quadrilateral, with AB parallel to CD... tagged by: BTGmoderatorLU ##### This topic has 1 expert reply and 0 member replies ### Top Member ## ABCD is a quadrilateral, with AB parallel to CD... ABCD is a quadrilateral, with AB parallel to CD (see figure). E is a point between C and D such that AE represent the height of ABCD, and E is the mispoint to CD. If Ab is 4 inches long, AE is 5 inches long, and the area of triangle AED is 12.5 square inches, what is the area of ABCD? (Note: figure not drawn to scale) A. 30 square inches B. 35 square inches C. 40 square inches D. 45 square inches E. 50 square inches The OA is B. I'm really confused with this PS question. Please, can any expert assist me with it? Thanks in advanced. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Top Reply Hello LUANDATO. Let's take a look at your question. First of all, the area of ABCD is $$\frac{\left(AB+CD\right)\cdot AE}{2}=\frac{\left(4+CD\right)\cdot5}{2}=\frac{\left(4+2\cdot DE\right)\cdot5}{2}.$$ So we just need to find the value of DE. We know that the area of the right triangle AED is 12.5. That is to say, $$12.5=\frac{DE\cdot5}{2}\ \leftrightarrow\ \ DE=\frac{25}{5}=5.$$ So, the area of ABCD is equal to $$\frac{\left(4+2\cdot5\right)\cdot5}{2}=\frac{14\cdot5}{2}=35.$$ This is why the correct answer is B. I hope this explanation may help you. I'm available if you'd like a follow-up. Regards. _________________ 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. • 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 • 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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