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    The side of a square is X cm, and the area of the square and the area of a rectangle are equal. If the length and breadth of the rectangle are (X + 9)
    Question



    The side of a square is X cm, and the area of the square and the area of a rectangle are equal. If the length and breadth of the rectangle are (X + 9) cm and (X – 6) cm, respectively, then find the value of X.

    A.

    28

    B.

    22

    C.

    21

    D.

    18

    E.

    20

    Correct option is D


    X² = (X + 9) (X – 6)
    X² = X² - 6X + 9X – 54
    54 = 3X
    18 = X

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