SOLUTION: The area of the rectangle shown is 49in.^2 find the length and the width of the rectangle . With the length being x+6 and width 2x+5

Question 693837: The area of the rectangle shown is 49in.^2 find the length and the width of the rectangle . With the length being x+6 and width 2x+5
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!

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=441 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1, -9.5. Here's your graph:

So x = 1.
Which makes the Length 7 and the width 7. It's a square
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