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    Question

    Two paths of width 4 metres are to be made in the centre

    of rectangular field such that they are perpendicular to each other. Find the area (in m2) of the field left after making the path if A can complete a round of the field along its boundary in 9.5 seconds while travelling with a speed of 8 m/s and difference between length and breadth of the field is 5 metres.
    A 208.75 Correct Answer Incorrect Answer
    B 238.75 Correct Answer Incorrect Answer
    C 218.75 Correct Answer Incorrect Answer
    D 278.75 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let length of the field is ‘l’ metres Breadth of the field = ‘l – 5’ metres So, 2 × (l + l – 5) = 9.5 × 8 = 76 So, 2l – 5 = 38 Or, 2l = 43 So, l = 21.5 metres  And b = 21.5 – 5 = 16.5 metres Desired area = 21.5 × 16.5 – {21.5 × 4 + 16.5 × 4 – 4 × 4} = 354.75 – 136 = 218.75 m2

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