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      Question

      A rectangular field is 45 m long and 35 m wide. A path

      of uniform width 5 m is constructed around the outside of the field. Find the area of the path.
      A 770 m² Correct Answer Incorrect Answer
      B 900 m² Correct Answer Incorrect Answer
      C 330 m² Correct Answer Incorrect Answer
      D 447 m² Correct Answer Incorrect Answer

      Solution

      Inner rectangle: 45 m × 35 m Area(inner) = 45 × 35 = 1575 m² Outer rectangle dimensions: Length = 45 + 2×5 = 55 m Width = 35 + 2×5 = 45 m Area(outer) = 55 × 45 = 2475 m² Area of path = Area(outer) − Area(inner) = 2475 − 1575 = 900 m²

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