Chapter 10 - Quadratic Equations - 10.5 - Solving Problems Using Quadratic Equations - Problem Set 10.5 - Page 464: 33

The answer is below.

In order to solve this using one variable, we use a similar technique to the one that the book uses to solve the problem, but we do not use a systems of equations. Rather, we can call one side x, meaning that the other side is x+2. Thus, we set up the expression: $ 35 = x(x+2)$ We can then solve this as the book does to find the width. Next, we add two to find the length.