If the area of a square is 32 square feet, estimate the length of each side of the square to the nearest whole number.

The area \( A \) of a square is given by the formula:

\[
A = s^2
\]

where \( s \) is the length of one side of the square.

Given that the area is 32 square feet, we can set up the equation:

\[
s^2 = 32
\]

To find the side length, take the square root of both sides:

\[
s = \sqrt{32}
\]

Estimating \( \sqrt{32} \), we get approximately:

\[
s \approx 5.656
\]

Rounding this to the nearest whole number, the length of each side of the square is approximately 6 feet.

Would you like further details or have any questions?

Here are 5 related questions you might find interesting:
1. What is the perimeter of this square?
2. If the side length were doubled, what would the new area be?
3. How does the diagonal of a square relate to its side length?
4. What is the side length if the area is 50 square feet?
5. Can you calculate the exact value of \( \sqrt{32} \) in simplest radical form?

**Tip:** When estimating square roots, it's helpful to know squares of nearby numbers, like \( 5^2 = 25 \) and \( 6^2 = 36 \).

Learn how to estimate the side length of a square given an area of 32 square feet. This problem involves key geometric concepts such as the area of a square and estimating square roots. Suitable for students in Grades 6-8.

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