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.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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