Linda is planning to build a rectangular deck that is 12 feet longer than it is wide. Find its width if its area is 589 square feet. Write an equation that models this problem?
Let the width be x, then the length is x + 12. Area = length x width = x(x + 12) = 589 \(x^{2} +12x = 589\) Solving the quadratic equation, we have that x = 19 feet i.e. the width is 19 feet.
