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      Question

      If the area of a square is 144 cm² and the breadth of a

      rectangle is 20% more and the length is 50% more than the side of the square, then find the ratio of the area of the square to the area of the rectangle.
      A 5:9 Correct Answer Incorrect Answer
      B 3:4 Correct Answer Incorrect Answer
      C 4:7 Correct Answer Incorrect Answer
      D 7:8 Correct Answer Incorrect Answer
      E 2:5 Correct Answer Incorrect Answer

      Solution

       Area of square = 144 cm², Side of square = 12 cm  Area of rectangle = (l x b)  Length = (12 x 1.5 = 18) cm  Breadth = (12 x 1.2 = 14.4) cm  Area of rectangle = (18 x 14.4 = 259.2) cm²  Required ratio = 144/259.2 = 5/9 = 5:9

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