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    Question

    The ratio between the length and the breadth of a

    rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hour completes one round in 8 minutes, then the area of the park is
    A 153650 m^2 Correct Answer Incorrect Answer
    B 135600 m^2 Correct Answer Incorrect Answer
    C 153600 m^2 Correct Answer Incorrect Answer
    D 156300 m^2 Correct Answer Incorrect Answer

    Solution

    let length = l , breadth = b l = 3x , b = 2x perimeter of the rectangular park = distance covered by the man in one round = 12 ├Ч (5/18) ├Ч 8 ├Ч 60 ( тИ╡ 1min = 60secs and converting 12km/hr to m/s by multiplying it by 5/18) = 1600 m 2(3x+2x) = 1600 5x= 800 x = 160 l = 3x = 160 ├Ч 3 = 480 b = 2x = 160 ├Ч 2 = 320 area of the rectangle = l ├Ч b = 480 ├Ч 320 153600 m2

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