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      Question

      Inside a square land having perimeter equal to 76

      metres, leaving aside a circular land of radius 7 metres, the remaining land needs to be levelled at a cost of 14 rupees per square metre. What is the cost of leveling?
      A Rs. 2888 Correct Answer Incorrect Answer
      B Rs. 2878 Correct Answer Incorrect Answer
      C Rs. 2898 Correct Answer Incorrect Answer
      D Rs. 2098 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the length of each side of the square land = ‘x’ metres Then, perimeter of the land = 4x = 76 metres So, x = (76/4) = 19 So, area of the square land = x2 = 192 = 361 m2 Area of the circular land = π × radius2 = (22/7) × 7 × 7 = 154 m2 Therefore, area to be levelled = 361 – 154 = 207 m2 Cost of leveling = 207 × 14 = Rs. 2898

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