Final answer:
The area of Dan's pool is 2400 square feet. After expanding both dimensions by a factor of 0.25, the new area is 3750 square feet.
Step-by-step explanation:
To find the area of Dan's pool, you need to multiply its length and width. The current dimensions of the pool are 40 feet by 60 feet, so the area is 40 ft * 60 ft = 2400 square feet.
To calculate the new area after expanding both dimensions by a factor of 0.25, you need to multiply the new length and width.
The new length would be 60 ft + (60 ft * 0.25) = 60 ft + 15 ft
= 75 ft, and
the new width would be 40 ft + (40 ft * 0.25) = 40 ft + 10 ft
= 50 ft.
Therefore, the new area of Dan's pool would be 75 ft * 50 ft = 3750 square feet.