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21 March, 18:58

The width of a rectangle is 3 units less than the length. The area of the rectangle is 54 units. What is the length, in units of the rectangle?

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Answers (2)
  1. 21 March, 19:18
    0
    9 units

    Step-by-step explanation:

    length: L

    Width: L - 3

    Area = length * width

    (L - 3) * L = 54

    L² - 3L - 54 = 0

    L² - 9L + 6L - 54 = 0

    L (L - 9) + 6 (L - 9) = 0

    (L - 9) (L + 6) = 0

    L = 9, - 6

    L = 9
  2. 21 March, 19:21
    0
    The length is 9 units

    Step-by-step explanation:

    Let x = length

    width = x-3

    Area = 54 = l*w

    54 = x * (x-3)

    Distribute

    54 = x^2 - 3x

    Subtract 54 from each side

    54-54 = x^2 - 3x-54

    0 = x^2 - 3x-54

    Factor

    What 2 number multiply to - 54 and add to - 3

    -9 * 6 = 54

    -9+6 = -3

    (x-9) (x+6) = 0

    Using the zero product property

    x=9 x=-6

    Since we cannot have negative length

    x=9 units

    The length is 9 units
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