Question
A rectangular park measures 60 m by 45 m. A uniform
walkway is constructed around the outside of the park. If the area of the walkway is 904 m², what is the width of the walkway?Solution
ATQ, Let width = x m. Outer dimensions = (60 + 2x) and (45 + 2x) Area of walkway = (60 + 2x)(45 + 2x) − 60 × 45 = 904 (60×45 cancels): 4x² + 120x + 90x = 904 4x² + 210x − 904 = 0 Divide by 2: 2x² + 105x − 452 = 0 Trial: x = 4 → 2(16) + 105×4 − 452 = 32 + 420 − 452 = 0 So x = 4 m.
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