# 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?

##### 1 Answer

Using the positive root in the quadratic equation, you find that

#### Explanation:

We know two equations from the problem statement. First is that the area of the rectangle is 12:

where

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:

where:

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 (