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      Question

      The difference between the area of a circle and the area

      of the rectangle is 290.16 cm2. If the length of rectangle is 25% more and breadth is 10% less than the radius of the circle, then find the perimeter of the rectangle? (Take π = 3.14)
      A 51.6 cm Correct Answer Incorrect Answer
      B 47.5 cm Correct Answer Incorrect Answer
      C 30.8 cm Correct Answer Incorrect Answer
      D 64.25 cm Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the radius of the circle be r cm. So, the length of the rectangle = 1.25r cm and the breadth of the rectangle = 0.90r cm Given that, ⇒ πr2 – 1.25r × 0.90r = 290.16 ⇒ 3.14r2 – 1.125r2 = 290.16 ⇒ r2 = 290.16/2.015 ⇒ r2 = 144 ⇒ r = 12 Length = 1.25 × 12 = 15 cm Breadth = 0.90 × 12 = 10.8 cm Perimeter of rectangle = 2(15 + 10.8) = 51.6 cm

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