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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 ## If a rectangle has a perimeter of 20 and a diagonal tagged by: BTGmoderatorLU ##### This topic has 1 expert reply and 0 member replies ### Top Member ## If a rectangle has a perimeter of 20 and a diagonal ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Source: Magoosh If a rectangle has a perimeter of 20 and a diagonal with length 9, what is the area of the rectangle? A. 7.5 B. 8 C. 8.5 D. 9 E. 9.5 The OA is E ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2595 messages Followed by: 18 members Upvotes: 43 BTGmoderatorLU wrote: Source: Magoosh If a rectangle has a perimeter of 20 and a diagonal with length 9, what is the area of the rectangle? A. 7.5 B. 8 C. 8.5 D. 9 E. 9.5 The OA is E We can create the equations: 2W + 2L = 20 W + L = 10 And L^2 + W^2 = 9^2 L^2 + W^2 = 81 Squaring the first equation we have: W^2 + L^2 + 2LW = 100 Substituting we have: 81 + 2LW = 100 2LW = 19 LW = 9.5 Answer: E _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews • Award-winning private GMAT tutoring Register now and save up to$200

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