SOLUTION: The length of an airport is 1 mile more than twice its width. The area is 21 square miles. Identify the length and width of the airport. Thank you

Question 41227: The length of an airport is 1 mile more than twice its width. The area is 21 square miles. Identify the length and width of the airport.
Thank you
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Let w be the width. Then the length is 2w + 1.
Area = length x width so we have
A = LW
21 = (2w + 1)w
21 = 2w^2 + w
2w^2 + w - 21 = 0
(2w + 7)(w - 3) = 0
w = -7/2 or w = 3
but since the width can't be negative,
w = 3 miles
and the length is 7 miles
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