Final answer:
To find the area of the walk around the swimming pool, we calculate the total area including the walk and subtract the area of the pool. The correct area of the walk is 464 square feet, so the answer is (d.) 464 sq ft.
Step-by-step explanation:
To calculate the area of the walk around the swimming pool, we first determine the dimensions of the pool including the concrete walk, which will be 4 feet wider on each side.
The length of the entire structure, pool plus walk, will be the original length of the pool plus twice the width of the walk (since the walk is on both sides): 30 feet + 2 * 4 feet = 38 feet.
The width will similarly be: 20 feet + 2 * 4 feet = 28 feet.
The area of the pool and walk combined is 38 feet * 28 feet = 1064 square feet.
However, we only want the area of the walk, so we must subtract the area of the pool itself from this figure. The area of just the pool is 30 feet * 20 feet = 600 square feet.
Therefore, the area of the walk is the total area minus the pool area: 1064 square feet - 600 square feet = 464 square feet.
The correct answer to the question is (d.) 464 sq ft.