College

A square swimming pool has an area of 200 square feet. For safety reasons, the neighborhood wants to build a fence around the poll. If the cost of the fence is $11.46 per linear foot, what is the total cost

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.