The worksheet you provided is about determining the square root ("racine carrée") of areas of land in square meters to find the dimensions of square-shaped community gardens, as well as the length of fencing required for each plot.

Let's walk through the problem:

Problem Explanation:

• Given: You are given the area of square-shaped plots in square meters.
• Task: Find the dimensions (length of one side) of the square plot using the square root of the area, and then determine the total length of fencing needed, which is the perimeter of the square.

For each plot:

• Dimensions of the plot (in meters): This is the square root of the area.
• Length of the fence (in meters): This is the perimeter of the square, which is calculated as $P = 4 \times \text{side length}$.

Let's solve the example for the given areas:

1. For an area of 36 m²:

   • Dimensions: $\sqrt{36} = 6 \, \text{meters}$
   • Perimeter: $4 \times 6 = 24 \, \text{meters}$ (length of the fence)

2. For an area of 49 m²:

   • Dimensions: $\sqrt{49} = 7 \, \text{meters}$
   • Perimeter: $4 \times 7 = 28 \, \text{meters}$ (length of the fence)

3. For an area of 60 m²:

   • Dimensions: $\sqrt{60} \approx 7.75 \, \text{meters}$
   • Perimeter: $4 \times 7.75 \approx 31 \, \text{meters}$ (length of the fence, approximate)

4. For an area of 81 m²:

   • Dimensions: $\sqrt{81} = 9 \, \text{meters}$
   • Perimeter: $4 \times 9 = 36 \, \text{meters}$ (length of the fence)

Would you like me to fill in the table for you and explain any steps in detail?

Relative questions:

1. How do you find the perimeter of a square when only given its area?
2. What is the process to calculate square roots for non-perfect squares?
3. Can the fence length be directly proportional to the area of the plot?
4. How would you handle cases where the plot is not a perfect square?
5. Why is the square root function essential when working with square areas?

Tip: Always double-check your square roots to ensure accuracy, especially for non-perfect squares where you might need an approximation.