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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 area of shaded region in the figure shown? tagged by: VJesus12 ##### This topic has 1 expert reply and 0 member replies ## What is the area of shaded region in the figure shown? What is the area of shaded region in the figure shown? A. 4/3 B. 8/3 C. 4 D. 8 E. 12 The OA is E . How can I find the value of the base of the triangle? Experts, may you help me? ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Hello Vjesus12. You have to calculate the slope of the line: $$m=\frac{y_1-y_0}{x_1-x_0}=\frac{1-0}{0-\frac{-8}{3}}=\frac{1}{\frac{8}{3}}=\frac{3}{8}.$$ Now, the equation of the line is $$y=mx+b=\frac{3}{8}x+1.$$ Finaly, we replace y=4 in the equation of the line: $$4=\frac{3}{8}x+1\ \ \leftrightarrow\ 3=\frac{3}{8}x\ \leftrightarrow\ \ x=8.$$ So, the base of the triangle is 8 and its height is 3. So, its area is $$A=\frac{8\cdot3}{2}=12.$$ The correct answer is E. I hope this explanation can help you. Feel free to ask me again if you have a doubt. 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 • FREE GMAT Exam Know how you'd score today for$0

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