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      Question

      A rectangular park is 50 m long and 30 m wide. A path of

      uniform width 2 m is built inside the park along all four sides. Find the area of the path.
      A 365 m² Correct Answer Incorrect Answer
      B 304 m² Correct Answer Incorrect Answer
      C 447 m² Correct Answer Incorrect Answer
      D 313 m² Correct Answer Incorrect Answer

      Solution

      Outer rectangle (park): 50 m × 30 m Area = 50 × 30 = 1500 m² Since the path is inside along all sides, inner rectangle dimensions: Length = 50 − 2 − 2 = 46 m Width = 30 − 2 − 2 = 26 m Inner area = 46 × 26 = 1196 m² Area of path = Outer area − Inner area = 1500 − 1196 = 304 m²

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