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      Question

      Perimeter of a rectangle is 40% more than that of a

      square of side 25 cm. If the difference between the length and breadth of the rectangle is 12 cm, respectively, then find the length of the rectangle.
      A 35 cm Correct Answer Incorrect Answer
      B 37 cm Correct Answer Incorrect Answer
      C 27 cm Correct Answer Incorrect Answer
      D 12 cm Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Perimeter of square = 25 X 4 = 100 cm Perimeter of rectangle = 1.40 X 100 = 140 cm Let the breadth of rectangle be 'x' cm So, length of rectangle = 'x + 12' cm ATQ, 2(x + x + 12) = 140 Or, 2x + 12 = 70 Or, 2x = 58 So, 'x' = 29 Length of rectangle = 'x + 12' = 29 + 12 = 41 cm

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