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25 August, 15:21

The width of a rectangle is the sum of the length and 5. The area of the rectangle is 36 units. What id the width, in units, of the rectangle?

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  1. 25 August, 15:46
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    Step-by-step explanation:

    Let length = x

    Width = x + 5

    Area = 36

    Area = length * width

    36 = x (x + 5)

    36 = x^2 + 5x

    x^2 + 5x - 36 = 0

    x^2 + 9x - 4x - 36 = 0

    (x^2 + 9x) - (4x + 36) = 0

    x (x + 9) - 4 (x + 9) = 0

    (x - 4) (x+9) = 0

    x - 4 = 0 or x + 9 = 0

    x = 4 or - 9

    But x can only be positive because it is a length

    x = 4unit = length

    Width = x + 5 = 4 + 5 = 9unit
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