Question

There is a narrow rectangular plot, reserved for a school, im mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate of rs 100per meter it will cost the village panchayat rs75000 to fence the plot. What are the dimensions of the plot?
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Answer 1

let the breadth be 4x and length be 11x

perimeter =75000/100

=750

perimeter=2 (l+b)

2 (11x+5x)

30x

now 30x=750

x=750/30

x=25

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Answer 2

Let the Length of Rectangular Plot = 11x

Let the Breadth of Rectangular Plot = 4x

Perimeter= Cost of Fencing / Rate of Fencing

= 75000 / 100

= 750 m

Perimeter = 2 ( Length + Breadth)

750 = 2 ( 11x + 4x )

750 = 2 ( 15x)

750 = 30x

x = 750 / 30

x = 25

Length of Rectangular Plot = 11x = 11(25) = 275 m

Breadth of Rectangular Plot = 4x = 4(25) = 100 m

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