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(B) Let the breadth of the rectangular plot be $x\, m$.Then,the length of the plot is $4x\, m$.Given that the area is $4$ hectares. Since $1\, 	ext{h

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$20$

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(B) Let the breadth of the rectangular plot be $x\, m$.Then,the length of the plot is $4x\, m$.Given that the area is $4$ hectares. Since $1\, 	ext{hectare} = 10,000\, m^2$,the area is $40,000\, m^2$.Area $= 	ext{length} 	imes 	ext{breadth} = 4x 	imes x = 4x^2$.So,$4x^2 = 40,000$,which implies $x^2 = 10,000$,so $x = 100\, m$.Thus,the breadth is $100\, m$ and the length is $400\, m$.The perimeter of the rectangular plot $= 2 	imes (	ext{length} + 	ext{breadth}) = 2 	imes (400 + 100) = 2 	imes 500 = 1,000\, m = 1\, km$.The speed of the dog is $3\, km/hr$.Time taken $= \frac{	ext{Distance}}{	ext{Speed}} = \frac{1\, km}{3\, km/hr} = \frac{1}{3}\, 	ext{hours}$.Since $1\, 	ext{hour} = 60\, 	ext{minutes}$,the time taken $= \frac{1}{3} 	imes 60 = 20\, 	ext{minutes}$.

The length of a rectangular plot of ground is four times its breadth and its area is $4$ hectares. How long will it take for a dog to walk around it at the rate of $3\, km/hr$? (in $min$)

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