SOLUTION: The length of a rectangular air filter is 3 inches less than twice the width. Find the length and width of the filter if the area is 299 square inches
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Question 1096791: The length of a rectangular air filter is 3 inches less than twice the width. Find the length and width of the filter if the area is 299 square inches
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
Let w be the width of the air filter, and 2w-3 be its' length. Then:
w(2w-3)=299
2w˛-3w-299=0
(2w+23)(w-13)=0
w=13 or -11.5
Using the positive value, we get 13" as the width of the filter, and 23" as the length
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