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      Question

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

      playground measuring 256 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 = 8x metre According to question, ⇒ 8x2/2 = 256 ⇒ x2 = (256 x 2)/8 = 64 ⇒ x = 8 metre Therefore, length = 8 x 8 = 64 metre           

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