https://file.aiquickdraw.com/mathbot/file/1730609403233dafzvslf.jpg

To solve this problem, let's find the area of the track around the swimming pool.

### Step 1: Determine the area of the larger rectangle (the outer dimensions, including the track)
The outer dimensions include the swimming pool plus the 10 m wide track on each side. Thus:
- **Outer Length** = \( 50 \, \text{m} + 10 \, \text{m} + 10 \, \text{m} = 70 \, \text{m} \)
- **Outer Width** = \( 25 \, \text{m} + 10 \, \text{m} + 10 \, \text{m} = 45 \, \text{m} \)

Now, we calculate the area of the outer rectangle:
\[
\text{Area of Outer Rectangle} = 70 \, \text{m} \times 45 \, \text{m} = 3150 \, \text{m}^2
\]

### Step 2: Determine the area of the inner rectangle (the swimming pool itself)
The swimming pool has dimensions:
- **Inner Length** = 50 m
- **Inner Width** = 25 m

The area of the inner rectangle (the swimming pool) is:
\[
\text{Area of Inner Rectangle} = 50 \, \text{m} \times 25 \, \text{m} = 1250 \, \text{m}^2
\]

### Step 3: Calculate the area of the track
The area of the track is the difference between the area of the outer rectangle and the inner rectangle:
\[
\text{Area of Track} = \text{Area of Outer Rectangle} - \text{Area of Inner Rectangle} = 3150 \, \text{m}^2 - 1250 \, \text{m}^2 = 1900 \, \text{m}^2
\]

### Answer
The area of the track around the swimming pool is:
\[
\boxed{1900 \, \text{m}^2}
\]

Would you like more details or have any questions?

### Related Questions
1. What would be the area of the track if its width were changed to 5 m?
2. How would the area change if the swimming pool was a square with the same outer dimensions?
3. What is the perimeter of the outer rectangle (including the track)?
4. How can we calculate the area of a circular track if the swimming pool were circular?
5. If the width of the track increased by 2 m on each side, how would the area of the track change?

### Tip
To find the area of a track or border around a shape, calculate the areas of the outer and inner shapes separately, then find the difference.

Baoling went swimming. The swimming pool had a track around its borders with a width of 10 m. Find out the area of the track using the dimensions shown below.

Learn how to calculate the area of a track surrounding a rectangular swimming pool with a width of 10 meters. The problem involves calculating the area of two rectangles and finding the difference. Suitable for middle school students studying geometry and area calculation.

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