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A square and a rectangle have equal areas. The length of the rectangle is 9 cm longer than the side of the square and the width of the recangle is 6 cm shorter than the side of the square. How long is the side of the square?

  • math -

    side of square --- x
    area of square = x^2

    length of rectangle = +9
    width of rectangle = x-6
    area of rectangle = (x+9)(x-6)

    It says the areas are equal

    so solve
    (x+9)(x-6) = x^2

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