Final answer:
The park is approximately 13.8 times bigger than the basketball court.
Step-by-step explanation:
To determine how many times bigger the park is compared to the basketball court, we need to calculate the ratio of their areas. The area of the basketball court is 3.25 x 10^3 square feet. The area of the park is 45,000 square feet. To find the ratio, we divide the area of the park by the area of the basketball court:
Ratio = Area of Park / Area of Basketball Court
Ratio = 45,000 sq ft / 3.25 x 10^3 sq ft
Ratio = 13.846
Therefore, the park is approximately 13.8 times bigger than the basketball court, which corresponds to option (a).