Length of rectangular plot is 3 times its breadth having area 3 hectare . A man walks on its perimeter at 4 km/hr . Find the time required ?
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1 hactare = 10000 square meters
Area of the field = 3 × 10000 = 30000 square meters
Let the breadth be x.
The length = 3x
Area = 3x × x = 3x^2
3x^2 = 30000
x^2 = 30000/3
x^2 = 10000
x = 100
The length = 100 × 3 = 300 m
Convert the dimensions to km.
Length = 300/1000 = 0.3 km
Width = 100/1000 = 0.1 km
Perimeter = (0.1 + 0.3) 2 = 0.8km
Time = Distance / speed
Time = 0.8/4 = 0.2 hrs
0.2 × 60 = 12 minutes
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