SOLUTION: The width of a rectangle is three more than twice its length. The area of the rectangle is 44cm^2. Find the dimensions of the rectangle. Show work please

Question 282188: The width of a rectangle is three more than twice its length. The area of the rectangle is 44cm^2. Find the dimensions of the rectangle. Show work please
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
w=2l+3
a=lw=44

l=1.31 w=2(1.31)+3=5.62

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=1313 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.30883546599672, -16.8088354659967. Here's your graph:

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