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      Question

      The ratio of radius of a circle and side of a square is in

      the ratio 7:8 respectively. The perimeter of the square is 20 meters more than the perimeter of a rectangle whose area is 120 metre 2 . If the ratio of length and breadth of rectangle is 6:5, then find the area of circle.
      A 616 sq m Correct Answer Incorrect Answer
      B 346 sq m Correct Answer Incorrect Answer
      C 626 sq m Correct Answer Incorrect Answer
      D 516 sq m Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the length and the breadth of the rectangle be 6x metres and 5x metres respectively.

      Area of the rectangle = length X breadth

      ATQ,

      6x X 5x = 120

      Or, x 2  = 4

      Or, 'x' = 2

      So, the perimeter of the rectangle = 2 X (length + breadth)

      So, 2 X (2 X 6 + 2 X 5) = 2 X 22 = 44 metres

      So, the perimeter of the square = 44 + 20 = 64

      So, side of the square = (64/4) = 16 metres

      So, the radius of the circle = (16/8) X 7 = 14 metres

      So, required area = π X radius 2  = (22/7) X 14 X 14 = 616 m 2

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