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From the image, it looks like you are asked to calculate the cost of concrete or paving stones for a pool area. The relevant information includes the following:

- The cost is $12 per square foot.
- The rectangular pool has a size of 20 feet by 30 feet.
- The surrounding area (which is likely where the paving stones will be laid) measures 4 feet in width.

Let's break it down step by step:

### Step 1: Calculate the dimensions of the entire area including the pool and surrounding space.

The pool's dimensions are given as:
- Length: 30 feet
- Width: 20 feet

The surrounding area is 4 feet wide on all sides, so:
- Total length (including surrounding space) = 30 + 4 + 4 = 38 feet
- Total width (including surrounding space) = 20 + 4 + 4 = 28 feet

### Step 2: Calculate the total area (pool + surrounding space).

\[
\text{Total Area} = 38 \times 28 = 1064 \, \text{square feet}
\]

### Step 3: Calculate the pool area.

\[
\text{Pool Area} = 30 \times 20 = 600 \, \text{square feet}
\]

### Step 4: Calculate the area of the surrounding paving stones.

The area of the surrounding space is the total area minus the pool area:

\[
\text{Surrounding Area} = 1064 - 600 = 464 \, \text{square feet}
\]

### Step 5: Calculate the cost of paving stones for the surrounding area.

The cost is $12 per square foot, so:

\[
\text{Cost} = 464 \times 12 = 5568 \, \text{dollars}
\]

Thus, the total cost for paving the surrounding area is **$5,568**.

Would you like further details or have any questions about this solution?

Here are 5 related questions for further practice:
1. How would the cost change if the surrounding area was only 3 feet wide?
2. What if the pool was circular with the same area as the rectangular pool?
3. How would the cost change if the price per square foot increased to $15?
4. If you added a 2-foot-wide pathway beyond the 4-foot surrounding area, what would the new total cost be?
5. What is the total area of the pool and surrounding space combined?

**Tip:** For questions involving areas of shapes, always make sure to distinguish between the area of the shape itself and the total area when there's a surrounding space or border!

Calculate the cost of concrete or paving stones for a pool area with a cost of $12 per square foot. The pool is 20 feet by 30 feet, and the surrounding area is 4 feet wide.

Learn how to calculate the cost of paving stones or concrete for a pool area. This example shows the step-by-step solution using geometry to find the total area, subtract the pool area, and calculate the final cost based on a rate of $12 per square foot.

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