Ex 2.4, 6 - There is a narrow rectangular plot, reserved for a school

Ex 2.4, 6 - Chapter 2 Class 8 Linear Equations in One Variable - Part 2
Ex 2.4, 6 - Chapter 2 Class 8 Linear Equations in One Variable - Part 3

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Question 6 There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate Rs 100 per metre it will cost the village panchayat Rs 75000 to fence the plot. What are the dimensions of the plot?Given, Length & breadth of rectangle plot is in ratio 11 : 4 Let Length be 11x metres & Breadth be 4x metres Fencing is done on all 4 sides of rectangle i.e Perimeter. Perimeter = 11x + 4x + 11x + 4x = 30x metres Another method to find perimeter Perimeter = 2 (Length + Breadth) = 2 (11x + 4x) = 30x metres Now, Cost of fencing = Perimeter Rate per meter 75,000 = 30 1000 75,000 = 3000 = 75000/3000 = 25 Therefore, Length = 11x = 11 25 = 275 m Breadth = 4x = 4 25 = 100 m

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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, Social Science, Physics, Chemistry, Computer Science at Teachoo.