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Ex 4.3, 3 Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m2? If so, find its length and breadth. Given that Area = 800 m2 And, Length is twice its breadth Let Breadth be x ∴ Length = 2x Now, Area = length x breadth 800 = x ×2𝑥 800 = 2x2 2x2 = 800 x2 = 800/2 x2 = 400 x = ± √("400" ) x = ± 20 So, x = 20 or x = – 20 Since x is length, x cannot be negative ∴ x = 20 is the solution Therefore, Breadth of mango grove = x = 20 m & Length of mango grove = 2x = 2(20) = 40 m

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo