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      Question

      The length of a rectangle, area of which is 315

      cm2, is equal to the radius of a circle of area 3850 cm2. Find the perimeter of the rectangle?
      A 88 cm Correct Answer Incorrect Answer
      B 54 cm Correct Answer Incorrect Answer
      C 38 cm Correct Answer Incorrect Answer
      D 44 cm Correct Answer Incorrect Answer

      Solution

      Let the radius of the circle = r Area of circle = 3850 = 22/7 × r × r ⇒ r = 35 cm Area of rectangle = 315 = L × B = 35 × B ⇒ B = 9 cm Perimeter = 2 × (L + B) = 2 × (35 + 9) = 88 cm

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