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      Question

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

      of uniform width is made inside the park along the boundary such that the area of the path is 6400 sq m. Find the width of the path.
      A 50 Correct Answer Incorrect Answer
      B 20 Correct Answer Incorrect Answer
      C 40 Correct Answer Incorrect Answer
      D 10 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Total area = 120├Ч80 = 9600 Inner area = 9600 тИТ 6400 = 3200 Let width = x Inner dimensions = (120 тИТ 2x) and (80 тИТ 2x) (120 тИТ 2x)(80 тИТ 2x) = 3200 9600 тИТ 400x + 4x┬▓ = 3200 4x┬▓ тИТ 400x + 6400 = 0 x┬▓ тИТ 100x + 1600 = 0 x = (100 ┬▒ 60)/2 тЗТ x = 20 (valid)

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