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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 the length and width of a rectangular garden plot tagged by: rolandprowess ##### This topic has 4 expert replies and 0 member replies ### Top Member ## If the length and width of a rectangular garden plot If the length and width of a rectangular garden plot were each increased by 20 percent, what would be the percent increase in the area of the plot? (A) 20% (B) 24% (C) 36% (D) 40% (E) 44% How will i start the formula here? OA E ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2950 messages Followed by: 19 members Upvotes: 43 Top Reply lheiannie07 wrote: If the length and width of a rectangular garden plot were each increased by 20 percent, what would be the percent increase in the area of the plot? (A) 20% (B) 24% (C) 36% (D) 40% (E) 44% If we let L = the original length and W = the original width, then the original area of the rectangle is LW. The new area is 1.2L x 1.2W = 1.44LW. Thus, we see that there is a 44% increase in the area. Alternate Solution: We can let the original length = 10 and the original width = 10. We see that the increased length will be 12, and the increased width will be 12. The original area is length x width = 10 x 10 = 100. The new area is 12 x 12 = 144. We find the percentage increase in the area by using the formula (new - old)/old x 100, and we obtain: (144 - 100)/100 x 100 = 44/100 x 100 = 44%. 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 ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15383 messages Followed by: 1872 members Upvotes: 13060 GMAT Score: 790 Top Reply lheiannie07 wrote: If the length and width of a rectangular garden plot were each increased by 20 percent, what would be the percent increase in the area of the plot? (A) 20% (B) 24% (C) 36% (D) 40% (E) 44% A square is a type of rectangle. To make the math easier, let the rectangular garden be a SQUARE with a side of 10. Area of the square garden = 10Â² = 100. If the length and width of the square each increase by 20% -- in other words, if each SIDE of the square increases by 20% -- the new area = 12Â² = 144. Since the area increases from 100 to 144 -- an increase of 44% -- the correct answer is E. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Hello lheiannie07. I will show you with an example how to determine the correct answer. Let's take a rectangular garden whose length is 20 and its width is 10. So, its area is equal to 200. Now, if we increase each dimension by 20%, we will obtain that the new dimensions are 24 and 12 (length and width respectively). The new area is equal to 288. Now, if 200 is the 100% of the firts area, which percent represents 288? It is the same as $$x=\frac{288\cdot100}{200}=144%.$$ So, the new area excess the first area by 44% percent. So, the answer is E. I hope this answer can help you. 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. ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10197 messages Followed by: 497 members Upvotes: 2867 GMAT Score: 800 Hi lheiannie07, We're told that the length and width of a rectangular plot were each increased by 20 percent. We're asked for the percent increase in the area of the plot. This question can be solved rather easily by TESTing VALUES (as EconomistGMATTutor has shown). It can also be solved Algebraically. The original Length and Width of the rectangle would give us an area of (L)(W). By increasing both of those values by 20%, we would have an area of (1.2L)(1.2W) = 1.44(L)(W). Comparing 1.44(L)(W) to (L)(W), the increase is clearly 44% Final Answer: E GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • 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 • 1 Hour Free 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 • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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