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      Question

      Perimeter of a rectangle is 70% more than that of a

      square of side 22 cm. If the difference between the length and breadth of the rectangle is 15 cm, respectively, then find the length of the rectangle.
      A 35.7 cm Correct Answer Incorrect Answer
      B 37.9 cm Correct Answer Incorrect Answer
      C 44.9 cm Correct Answer Incorrect Answer
      D 12.8 cm Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Perimeter of square = 22 X 4 = 88 cm Perimeter of rectangle = 1.70 X 88 = 149.6 cm Let the breadth of rectangle be 'x' cm So, length of rectangle = 'x + 15' cm ATQ, 2(x + x + 15) = 149.6 Or, 2x + 15 = 74.8 Or, 2x = 59.8 So, 'x' = 29.9 Length of rectangle = 'x + 15' = 29.9 + 15 = 44.9 cm

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