SOLUTION: A rectangle has a perimeter of 46 meters. The area is 124 meters squared. Find the dimensions...thank you!

Question 39163: A rectangle has a perimeter of 46 meters. The area is 124 meters squared. Find the dimensions...thank you!
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!

Combine:

Plug:

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=33 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 14.372281323269, 8.62771867673099. Here's your graph:

To finish, plug in the answer (width) in the equation to determine length.
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