Final answer:
The point (6, 36) represents a patio with a side length of 6 units and an area of 36 units squared.
Step-by-step explanation:
The point (6, 36) represents the length and area of the square patio. In the equation y = 12x - x², x represents the length of the side of the patio and y represents the area of the patio.
When we substitute x = 6 into the equation, we get y = 12(6) - 6² = 72 - 36 = 36. Therefore, the point (6, 36) represents a patio with a side length of 6 units and an area of 36 units squared.