For the problem, use the discriminant to determine the number of real solutions for the equation. Then, find the solutions and check to see if they make sense in the context of the problem.
The length and width of a rectangular patio are, (x + 7) feet and (x + 9) feet, respectively. If the area of the patio is 150 square feet, what are the dimensions of the patio? Enter the dimensions to two decimal places.