SOLUTION: The oriental rug shown is 5 feet longer than it is wide. If the diagonal of the rug is 12 feet find its dimensions to the nearest tenth of a foot.

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Question 903097: The oriental rug shown is 5 feet longer than it is wide. If the diagonal of the rug is 12 feet find its dimensions to the nearest tenth of a foot.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
Using Pythagorean Theorem
(w+5)^2 + w^2 = 12^2
2w^2 + 10w - 119 = 0 (Tossing out the negative solution for unit measure)
w = 5.6 and L = 10.6
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=1052 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 5.60863737011343, -10.6086373701134. Here's your graph:
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