Final answer:
The length of the rectangular swimming pool is 50 feet.
Step-by-step explanation:
The area of a rectangular swimming pool is found by multiplying its length and width. In this case, we are given that the width is 25 feet and the area is 1250 square feet. So, we can set up the equation as:
Length x Width = Area
Length x 25 = 1250
Length = 1250 / 25
Length = 50 feet
Therefore, the pool's length is 50 feet, which corresponds to option (A).