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    Question

    Which of the following is the correct relation between

    Quantity I and Quantity II? Quantity I: The area of a square is 81 cm². Find the perimeter of the square. Quantity II: The area of a rectangle is 81 cm², and its length is 9 cm. Find the perimeter of the rectangle.
    A Quantity I = Quantity II Correct Answer Incorrect Answer
    B Quantity I > Quantity II Correct Answer Incorrect Answer
    C Quantity I < Quantity II Correct Answer Incorrect Answer
    D Quantity I ≥ Quantity II Correct Answer Incorrect Answer
    E Quantity I ≤ Quantity II Correct Answer Incorrect Answer

    Solution

    Quantity I: Area of square = side² → 81 = side² → side = 9 cm Perimeter of square = 4 × side = 4 × 9 = 36 cm Quantity II: Area of rectangle = length × breadth → 81 = 9 × breadth → breadth = 81 / 9 = 9 cm Perimeter of rectangle = 2(length + breadth) = 2(9 + 9) = 36 cm Comparing Quantity I and Quantity II: Quantity I = 36 cm Quantity II = 36 cm Now, comparing: Quantity I = Quantity II Therefore, the correct option is: A

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