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      Question

      The circumference of a circle is equal to the perimeter

      of a rectangle whose length and breadth are in ratio 7:5, respectively. If the area of the rectangle is 4235 cm2 , then find the radius of the circle.
      A 73.5 cm Correct Answer Incorrect Answer
      B 42 cm Correct Answer Incorrect Answer
      C 59.5 cm Correct Answer Incorrect Answer
      D 38.5 cm Correct Answer Incorrect Answer
      E 50.5 cm Correct Answer Incorrect Answer

      Solution

      Let the length and breadth of the rectangle be 7x cm and 5x cm, respectively According to the question, 7x Γ— 5x = 4235 => x2 = 4235/35 = 121 => x = 11 Therefore, perimeter of the rectangle = 2 Γ— (7x + 5x) = 264 cm Let the radius of the circle be β€˜r’ cm According to the question, 2Ο€r = 264 Or, r = 264 Γ— (7/44) = 42 cm

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