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Ex 4.4, 3 - Is it possible to design a rectangular mango - Solving by quadratic formula - Equation to be formed

  1. Chapter 4 Class 10 Quadratic Equations
  2. Serial order wise
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Ex 4.4 ,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 the breadth be x So, length = 2x 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 cannot be negative, x = 20 is the solution So, Breadth of mango grove = x = 20 m & length of mango grove = 2x = 2(20) = 40 m

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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