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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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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Answered by
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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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