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30 March, 01:17

the length of a rectangle is 1cm more than three times the width if the area of the rectangle is 30cm^2, how many centimeters is the width?

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  1. 30 March, 01:37
    0
    3 cm

    Step-by-step explanation:

    if width is x, length is 3x+1

    area = length * width

    30 = x * 3x+1

    30 = 3x^2 + x

    0 = 3x^2 + x - 30

    factor to get:

    0 = (3x+10) (x-3)

    set both sides equal to zero

    -10 = 3x - -> no solution because you can't have a negative width

    3=x - -> the width is 3 cm
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