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      Question

      The length of a plot is six times its breadth. A

      playground measuring 300 square metres occupies half of the total area of the plot. What is the length of the plot?
      A 80 metre Correct Answer Incorrect Answer
      B 60 metre Correct Answer Incorrect Answer
      C 64 metre Correct Answer Incorrect Answer
      D 56 metre Correct Answer Incorrect Answer

      Solution

      Using formula, Area = lb, Let breadth of plot = x metre Length = 6x metre According to question, ⇒ 6x2/2 = 300 ⇒ x2 = (300 x 2)/6 = 100 ⇒ x = 10 metre Therefore, length = 6 x 10 = 60 metre

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