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      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 m┬▓, what is the width of the walkway?
      A 4 m Correct Answer Incorrect Answer
      B 7 m Correct Answer Incorrect Answer
      C 5 m Correct Answer Incorrect Answer
      D 9 m Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let width = x m. Outer dimensions = (60 + 2x) and (45 + 2x) Area of walkway = (60 + 2x)(45 + 2x) тИТ 60 ├Ч 45 = 904 (60├Ч45 cancels): 4x┬▓ + 120x + 90x = 904 4x┬▓ + 210x тИТ 904 = 0 Divide by 2: 2x┬▓ + 105x тИТ 452 = 0 Trial: x = 4 тЖТ 2(16) + 105├Ч4 тИТ 452 = 32 + 420 тИТ 452 = 0 So x = 4 m.

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