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the length of a rectangle is 2 centimetres less than twice the width. the area of the rectangle is 180 square centimetres. find the length and width of the rectangle.

  • maths -

    L W = 180
    2W -L = 2

    Solve for L and W
    (2W -2)*W -180 = 0
    2W^2 -2W -180 = 0
    This is a factorabble quadratic equation.
    (W^2 -W -90) = 0
    (W -10)(W+9) = 0

    W = 10 cm. Ignore the negative root (-9)
    L = 180/W = 18

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