Final answer:
The solutions to the equation (6 + x)(9 + x) = 88 represent two possible amounts by which the dimensions of the rectangular patio were increased.
Step-by-step explanation:
The solutions to the equation (6 + x)(9 + x) = 88 represent two possible amounts by which the dimensions of the rectangular patio were increased. The equation represents the area of the larger patio, which is found by multiplying the increased length (6 + x) by the increased width (9 + x), and setting it equal to 88. By solving the equation, you can find the possible values of x, which represent the amounts by which the dimensions were increased.