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    If the perimeter of a square is doubled, then its area becomes
    Question

    If the perimeter of a square is doubled, then its area becomes

    A.

    8 times

    B.

    4 times

    C.

    2 times

    D.

    3 times

    Correct option is B

    Given
    The perimeter of a square is doubled.

    Formula Used
    Perimeter of square = 4 × side
    Area of square = side × side

    Solution
    Let the original side of the square be a.

    Original perimeter = 4a

    Original area = a×a=a2a × a = a^{2}​​

    New perimeter = 2 × 4a = 8a

    New side = 8a4=2a \frac{8a}{4} = 2a​​
    New area =  2a×2a=4a22a × 2a = 4a^{2}​​

    New area = 4 × Original area

    So the correct answer is (b)

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