Final answer:
The dimensions of a square patio with an area of 225 m² are 15m x 15m, since the side of a square is the square root of its area.
Step-by-step explanation:
To find the dimensions of a square patio with an area of 225 m², we need to remember that the area of a square is calculated by squaring the length of one of its sides. Since the area is provided, we need to take the square root of the area to find the length of the side. In mathematical terms, if the area (A) is 225 m², then one side (s) of the square is √225 m², which is 15 m. Therefore, the dimensions of the patio are 15m x 15m.