Sam is building a swimming pool with a fence around it. The pool itself is 30
 feet by 40
 feet and it is separated from the fence by a 4
-foot wide walkway on all sides. What is the area, in square feet, of the entire portion inside the fence?

To find the area of the entire portion inside the fence, including the pool and the walkway, we'll first calculate the dimensions of the region inside the fence, which includes the pool and the surrounding walkway.

### Step 1: Determine the dimensions of the fenced area
- The pool itself has dimensions of 30 feet by 40 feet.
- There is a 4-foot wide walkway surrounding the pool on all sides.

The walkway adds 4 feet to each side of the pool, meaning it adds 8 feet to both the length and the width (4 feet on each side).

- New length inside the fence: \( 40 + 8 = 48 \) feet
- New width inside the fence: \( 30 + 8 = 38 \) feet

### Step 2: Calculate the area of the fenced region
Now, calculate the area of the entire portion inside the fence:

\[
\text{Area} = \text{Length} \times \text{Width} = 48 \times 38
\]

\[
\text{Area} = 1824 \text{ square feet}
\]

### Final Answer
The area of the entire portion inside the fence is **1,824 square feet**.

Would you like more details or have any questions?

### Relative Questions
1. What is the area of the pool itself?
2. How much area does the walkway cover on its own?
3. If the walkway were only 2 feet wide, what would the fenced area be?
4. How would the area change if the pool were circular with the same width of the walkway?
5. What is the perimeter of the entire fenced area?

### Tip
When calculating the total area of a fenced region with a walkway, always add twice the walkway width to each dimension of the pool.

Learn how to calculate the area inside a fenced swimming pool area, including the pool and a surrounding walkway. This problem involves determining dimensions and applying the area formula for a rectangle. Suitable for Grades 6-8 students.

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