Answer:
Let's start by using the formula for the area of a rectangle:
area = length x width
We know that the length is 3 1/4 yards and the area is 9 3/4 square yards, so we can substitute those values in and solve for the width:
9 3/4 = (13/4) x width
To isolate the variable, we can multiply both sides by the reciprocal of 13/4, which is 4/13:
(9 3/4) x (4/13) = (13/4) x (4/13) x width
3 = width
Therefore, the width of the swimming pool is 3 yards, which is option A.