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    Question

    A rectangular park is 60 m long and 40 m wide. A path of

    uniform width 2 m is constructed inside the park along all four sides. Find the area of the path.
    A 228 m² Correct Answer Incorrect Answer
    B 384 m² Correct Answer Incorrect Answer
    C 395 m² Correct Answer Incorrect Answer
    D 295 m² Correct Answer Incorrect Answer

    Solution

    Outer rectangle area = 60 × 40 = 2,400 m² Inner rectangle dimensions: Length = 60 − 2 − 2 = 56 m Width = 40 − 2 − 2 = 36 m Inner area = 56 × 36 = (56 × 30) + (56 × 6) = 1,680 + 336 = 2,016 m² Area of path = Outer area − Inner area = 2,400 − 2,016 = 384 m² Answer: 384 m².

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