SOLUTION: A soccer field has an area of 135 square feet. The length is 3 feet longer than the width. What are the dimesions of the feet?

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Question 431596: A soccer field has an area of 135 square feet. The length is 3 feet longer than the width. What are the dimesions of the feet?
Answer by jorel1380(3719)   (Show Source): You can put this solution on YOUR website!
If the soccer field 135sq.ft. in area, then LXW =135. Also, we know that L equals W+3. Substituting for L we get:
(W+3)(W)=135
W2+3W=135
W2+3W-135=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=549 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 10.21537451386, -13.21537451386. Here's your graph:


(Throw out the negative value, since our soccer field isn't imaginary)
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