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    Question

    A square has an area of 289 cm². The rectangle's breadth is 20% more, and its length is 50% more than the square's side. What is the area ratio of the square to 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 = 289 cm², Side of square = 17 cm Area of rectangle = (l x b)  Length = (17 x 1.5 = 25.5) cm  Breadth = (17 x 1.2 = 20.4) cm  Area of rectangle = (25.5 x 20.4 = 520.2) cm² Required ratio = 289/520.2 = 5/9 = 5:9

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