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    Question

    A rectangular park is 120 m long and 80 m wide. A path

    of uniform width is constructed inside the park. If the area of the path is 3600 m², find the width of the path.
    A 5 m Correct Answer Incorrect Answer
    B 8 m Correct Answer Incorrect Answer
    C 10 m Correct Answer Incorrect Answer
    D 12 m Correct Answer Incorrect Answer

    Solution

    Area of the park = 120 × 80 = 9600 m². Let the width of the path be x m. Area of the park after constructing the path = (120 - 2x)(80 - 2x). Area of the path = Area of the park - Area after the path. 9600 - (120 - 2x)(80 - 2x) = 3600. Solving gives x = 10 m. Answer: c) 10 m.

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