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    Question

    A rectangular park is 30 m long and 20 m wide. A path of

    uniform width 2 m is built inside along its boundary. Find the area of the path.
    A 165 m² Correct Answer Incorrect Answer
    B 220 m² Correct Answer Incorrect Answer
    C 184 m² Correct Answer Incorrect Answer
    D 129 m² Correct Answer Incorrect Answer

    Solution

    Outer dimensions: 30 m Ɨ 20 m Inner rectangle (after path on all sides): Length = 30 āˆ’ 2 āˆ’ 2 = 26 m Width = 20 āˆ’ 2 āˆ’ 2 = 16 m Area of park = 30 Ɨ 20 = 600 m² Area of inner rectangle = 26 Ɨ 16 = 416 m² Area of path = 600 āˆ’ 416 = 184 m²

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