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      Question

      Two paths of width 5 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 12 seconds while travelling with a speed of 6.5 m/s and difference between length and breadth of the field is 5 metres.
      A 200 Correct Answer Incorrect Answer
      B 207 Correct Answer Incorrect Answer
      C 204 Correct Answer Incorrect Answer
      D 214 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) = 12 × 6.5 = 78 So, 2l – 5 = 39 Or, 2l = 44 So, l = 22 metres  And b = 22 – 5 = 17 metres Desired area = 22 × 17 – {22 × 5 + 17 × 5 – 5 × 5} = 374 – 170 = 204 m2

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