To find the length of each side of the square with an area of 32 square feet, we can use the formula for the area of a square:

$\text{Area} = s^2$

where $s$ is the length of each side. Setting this equal to 32, we have:

$s^2 = 32$

To solve for $s$, take the square root of both sides:

$s = \sqrt{32}$

Calculating $\sqrt{32}$ gives approximately 5.66. Rounding this to the nearest whole number, we get:

$s \approx 6$

Thus, the estimated length of each side is 6 feet.

Would you like more details or have any questions?

Here are some related questions to explore further:

1. How do you find the area of other shapes like rectangles or triangles?
2. How would the side length change if the area were doubled?
3. What is the perimeter of this square with a side length of 6 feet?
4. Can you use different methods to approximate square roots?
5. How does rounding affect the accuracy of measurements?

Tip: Remember that squaring and square-rooting are inverse operations, which can help solve many area and geometry problems.