Arectangular 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.

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

Step-by-step explanation:

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