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      Question

      Inside a square land having perimeter equal to 128

      metres, leaving aside a circular land of radius 14 metres, the remaining land needs to be levelled at a cost of 23 rupees per square metre. What is the cost of leveling?
      A Rs. 9354 Correct Answer Incorrect Answer
      B Rs. 9380 Correct Answer Incorrect Answer
      C Rs. 9384 Correct Answer Incorrect Answer
      D Rs. 9364 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the length of each side of the square land = β€˜x’ metres Then, perimeter of the land = 4x = 128 metres So, x = (128/4) = 32 So, area of the square land = x2 = 322 = 1024 m2 Area of the circular land = Ο€ Γ— radius2 = (22/7) Γ— 14 Γ— 14 = 616 m2 Therefore, area to be levelled = 1024 – 616 = 408 m2 Cost of leveling = 408 Γ— 23 = Rs. 9384

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