Final answer:
The length of one side of the square backyard ice rink with an area of 1024 ft.² is found by taking the square root of the area, which is 32 ft, corresponding to answer choice (a).
Step-by-step explanation:
To calculate the length of one side of a square backyard ice rink with an area of 1024 ft.², we use the area formula for a square: A = a², where ‘A’ is the area and ‘a’ is the length of a side. Since the area is 1024 ft.², we find the square root of the area to determine the length of a side.
√1024 ft.² = 32 ft.
Therefore, the length of one side of the rink is 32 ft. This corresponds to answer choice (a).