Answer :
Answer:
Approximately $648.89
Step-by-step explanation:
To find the total cost of the fence, follow these steps:
1. **Determine the side length of the pool:**
Since the pool is square and has an area of 200 square feet, the side length \( s \) can be found by taking the square root of the area:
\[
s = \sqrt{200} \approx 14.14 \text{ feet}
\]
2. **Calculate the perimeter of the pool:**
The perimeter \( P \) of a square is given by:
\[
P = 4 \times s
\]
Substituting the side length:
\[
P = 4 \times 14.14 \approx 56.56 \text{ feet}
\]
3. **Determine the total cost of the fence:**
The cost per linear foot is $11.46. Multiply this by the perimeter to get the total cost:
\[
\text{Total Cost} = 56.56 \times 11.46 \approx 648.89
\]
So, the total cost of the fence is approximately $648.89.
