https://file.aiquickdraw.com/mathbot/file/1727474891779ljs3x3ds.jpg

Let's solve the two parts of the problem in the image step by step:

### (a) Perimeter of the rectangular parking lot
The problem states:
- Perimeter \( P = 362 \) meters
- Length \( l = 96 \) meters
- We need to find the width \( w \).

The formula for the perimeter of a rectangle is:
\[
P = 2(l + w)
\]
Substituting the known values:
\[
362 = 2(96 + w)
\]
Now, solve for \( w \):
1. Divide both sides by 2:
   \[
   181 = 96 + w
   \]
2. Subtract 96 from both sides:
   \[
   w = 181 - 96 = 85 \text{ meters}
   \]
So, the width of the parking lot is **85 meters**.

### (b) Area of the rectangular pool
The problem states:
- Area \( A = 71.44 \) square meters
- Width \( w = 76 \) meters
- We need to find the length \( l \).

The formula for the area of a rectangle is:
\[
A = l \times w
\]
Substitute the known values:
\[
71.44 = l \times 76
\]
Now solve for \( l \):
1. Divide both sides by 76:
   \[
   l = \frac{71.44}{76} = 0.94 \text{ meters}
   \]
So, the length of the pool is **0.94 meters**.

Let me know if you'd like more details or have any questions.

### Follow-up questions:
1. How do we calculate the perimeter of a rectangle with different dimensions?
2. What happens to the perimeter if both the length and width are doubled?
3. How can we find the diagonal of a rectangle given its length and width?
4. How is the formula for the area of a rectangle derived?
5. How does changing the width affect the area of a rectangle?

**Tip**: For any rectangle, if you know two sides (length and width), you can always find the perimeter and area easily using basic formulas.

The perimeter of a rectangular parking lot is 362 meters. If the length of the parking lot is 96 meters, what is its width? The area of a rectangular pool is 71.44 square meters. If the width of the pool is 76 meters, what is its length?

Learn how to calculate the perimeter and area of rectangles using basic algebraic formulas. In this example, we solve for the width of a parking lot with a given perimeter and length, and the length of a pool with a known area and width. Suitable for students in Grades 6-8.

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