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30 August, 11:12

A rectangular patio has area of 180 square feet. The width of the patio is 3 feet less than the length. Find the length and width of the patio.

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Answers (2)
  1. 30 August, 12:36
    0
    My calculations got to a decimal so it's about.
  2. 30 August, 12:40
    0
    A) width * length = 180 OR width = 180 / length

    B) width = length - 3

    Substituting A) into B) we get

    180 / length = length - 3

    180 = length^2 - 3 * length

    length^2 - 3 * length - 180 = 0

    Factoring:

    (len + 12) * (len - 15) = 0

    length = 15

    Therefore width = (length - 3) = 12
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