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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 Ɨ 30 m Area = 50 Ɨ 30 = 1500 m² Since the path is inside along all sides, inner rectangle dimensions: Length = 50 āˆ’ 2 āˆ’ 2 = 46 m Width = 30 āˆ’ 2 āˆ’ 2 = 26 m Inner area = 46 Ɨ 26 = 1196 m² Area of path = Outer area āˆ’ Inner area = 1500 āˆ’ 1196 = 304 m²

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