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To solve this problem, let's break it down:

1. **Current Park Dimensions:**
   - The park is a rectangle with:
     - Length = 95 meters
     - Width = 60 meters

2. **Perimeter Calculation:**
   - The formula for the perimeter \( P \) of a rectangle is:
     \[
     P = 2 \times (\text{length} + \text{width})
     \]
   - For the given park:
     \[
     P = 2 \times (95 + 60) = 2 \times 155 = 310 \text{ meters}
     \]
   - We need another rectangle with the same perimeter (310 meters).

3. **Finding New Dimensions with Larger Area:**
   - The area \( A \) of a rectangle is given by:
     \[
     A = \text{length} \times \text{width}
     \]
   - To increase the area while keeping the same perimeter, we want the length and width to be closer in value (more square-like).

4. **Possible Dimensions for Larger Area:**
   - Let’s solve for dimensions that satisfy \( 2 \times (L + W) = 310 \) and provide a larger area.
   - Solving \( L + W = 155 \) (half the perimeter), let’s try \( L = 77.5 \) meters and \( W = 77.5 \) meters, which would yield a square shape, maximizing the area under this perimeter.

**Solution:**
A possible answer is:
   - Width = 77.5 meters
   - Length = 77.5 meters

This configuration maintains the perimeter at 310 meters and increases the area compared to the original rectangular dimensions.

Would you like more detailed calculations or have questions about any step?

### Further Questions
1. How does changing dimensions while maintaining the perimeter affect area?
2. Why does a square shape maximize area under a fixed perimeter?
3. Can you find other dimension pairs that satisfy the perimeter of 310 meters?
4. How would the solution change if maximizing area wasn’t required?
5. Can you generalize this approach for any perimeter?

### Tip
For any fixed perimeter, the area is maximized when the shape is as close to a square as possible.

A rectangular park is 95 meters long and 60 meters wide. Give the length and width of another rectangular park that has the same perimeter but a larger area.

Find the dimensions of a rectangular park with a perimeter of 310 meters and a larger area than 95m by 60m. This problem explores geometry concepts, including perimeter and area, and explains why a square maximizes area for a fixed perimeter. Suitable for Grades 6-8.

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