SOLUTION: The length of a field is 200ft longer than it is wide. The area of the field is 57,600 sq. ft. What is the width of the field?

Question 963414: The length of a field is 200ft longer than it is wide. The area of the field is 57,600 sq. ft. What is the width of the field?
Answer by amarjeeth123(569) (Show Source): You can put this solution on YOUR website!
Let the width be x.
Then the length is (x+200)
The area of the field=57600
Area=length*width
x(x+200)=57600
x^2+200x-57600=0

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=270400 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 160, -360. Here's your graph:

x=160 or x=-360
The width of the field is 160 feet.
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