The area of a rectangle is 12 square inches. The length is 5 more than twice it’s width. How do you find the length and width?
Using the positive root in the quadratic equation, you find that
We know two equations from the problem statement. First is that the area of the rectangle is 12:
Now, we substitute the length to width relationship into the area equation:
If we expand the left-hand equation, and subtract 12 from both sides, we have the makings of a quadratic equation:
plug that into the quadratic equation:
we know that the width must be a positive number, so we only worry about the positive root:
now that we know the width (