SOLUTION: a rectangular parking lot has length that is 9 yards less than twice its width. if the area of the land is 221 square yards, what are the demensions of the land?

Question 898805: a rectangular parking lot has length that is 9 yards less than twice its width. if the area of the land is 221 square yards, what are the demensions of the land?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
(2w-9)w = 221
2w^2 - 9w - 221 = 0
w = 10.3470673703508
find length = 2w-9

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=1049 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 10.3470673703508, -5.84706737035082. Here's your graph:

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