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 ` 100 per meter it will cost the village panchayat ` 75,000 to fence the plot. What are the dimensions of the plot?

Let the length and breadth of the rectangular plot be 11x and 4x respectively.
Perimeter of the plot = Total Cost/Cost of 1 meter = 75000/100=750m
We know that Perimeter of rectangle = 2 (length + breadth)
Therefore, according to the question, 750=2(11x+4x)
⇒ 750=2X15x ⇒ 750=30x ⇒ 30x=750 ⇒ x=750/30=25
Hence, length of rectangular plot = 11 x 25 = 275 m and breadth of rectangular plot = 4 x 25 = 100 m

Class 8 Maths Chapter 2 Exercise 2.4 Solution in Video

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