SOLUTION: The width of a rectangle is 18 ft less than the length. The area is 10 ft square. What is the length and width

Question 933086: The width of a rectangle is 18 ft less than the length. The area is 10 ft square. What is the length and width
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
L = W + 18
W*L = 10
-------
W*(W+18) = 10
W^2 + 18W - 10 = 0

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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=364 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.539392014169456, -18.5393920141695. Here's your graph:

================
W = 0.539392014169456 ft
L = 18.539392014169456 ft

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