An in-ground pool measures 16 ft by 40 ft and has a 2 ft wide walkway around it. What is the area of the walkway around the pool?

Rationale

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

To find the area of the walkway, we first calculate the total area of the pool and walkway combined, then subtract the area of the pool itself. The dimensions of the pool, including the walkway, become 20 ft by 44 ft, leading to a total area of 880 ft squared, while the pool's area is 640 ft squared. Thus, the area of the walkway is 880 ft squared - 640 ft squared = 240 ft squared.

A (880 ft squared) YOUR ANSWER

This choice represents the total area of the pool plus the walkway. It does not isolate the area of just the walkway and therefore cannot be correct.

B (116 ft squared) YOUR ANSWER

This value does not correspond to any area calculated based on the dimensions provided. It is too low given the pool's dimensions and does not account for the walkway properly.

C (640 ft squared) YOUR ANSWER

This choice indicates the area of the pool itself without the walkway. While it is accurate for the pool alone, it fails to include the area of the surrounding walkway, making it the wrong answer for the question asked.

D (240 ft squared) CORRECT

This answer accurately reflects the area of the walkway. By calculating the total area with the walkway (880 ft squared) and subtracting the pool's area (640 ft squared), we confirm that the walkway's area is indeed 240 ft squared.

Conclusion

The area of the walkway surrounding the in-ground pool is calculated by determining the total area of the combined structure and subtracting the area of the pool. The resulting area of 240 ft squared is the only correct answer, as it appropriately represents the space around the pool while excluding the pool's own area. Other options either misrepresent the dimensions or fail to consider the walkway's contribution accurately.

An in-ground pool measures 16 ft by 40 ft and has a 2 ft wide walkway around it. What is the area of the walkway around the pool?

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

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