Question 6

The area of the walkway around the pool is 240 ft squared.

To find the area of the walkway, we first calculate the total area including the pool and the walkway, and then we subtract the area of the pool itself. The dimensions of the pool with the walkway are 20 ft by 44 ft, resulting in a total area of 880 ft squared, and subtracting the pool area of 640 ft squared gives us 240 ft squared for the walkway.

A) 880 ft squared

This option represents the total area of the pool and the walkway combined, not just the walkway itself. Therefore, it is incorrect as it does not answer the question regarding the area of the walkway alone.

B) 116 ft squared

This value does not correspond to any calculated area related to the pool or walkway. It is significantly less than the area of the walkway and does not align with the dimensions provided, making it an incorrect choice.

C) 640 ft squared

This option reflects the area of the pool itself, which measures 16 ft by 40 ft. Since the question specifically asks for the area of the walkway, this option is incorrect as it does not account for the additional space around the pool.

D) 240 ft squared

This is the correct answer as it accurately represents the area of the walkway surrounding the pool. By calculating the total area including the walkway (20 ft by 44 ft = 880 ft squared) and subtracting the area of the pool (640 ft squared), we arrive at 240 ft squared for the walkway.

Conclusion

The area of the walkway is definitively calculated as 240 ft squared by correctly applying the formula for the area of rectangles and understanding the relationship between the dimensions of the pool and the walkway. All other options either represent the area of the pool, the total area, or an incorrect calculation, confirming that D is the only valid choice.