To determine the side length of the foundation, we need to find the side length of a square given that its area is 200 square feet.
1. Understanding the Problem:
The area [tex]\(A\)[/tex] of a square is given by the formula:
[tex]\[
A = s^2
\][/tex]
where [tex]\(s\)[/tex] is the side length of the square. We are provided that the area [tex]\(A = 200 \,\text{ft}^2\)[/tex].
2. Finding the Side Length:
We need to solve for [tex]\(s\)[/tex] in the equation:
[tex]\[
s^2 = 200
\][/tex]
To isolate [tex]\(s\)[/tex], we take the square root of both sides of the equation:
[tex]\[
s = \sqrt{200}
\][/tex]
3. Conclusion:
The expression representing the side length of the foundation, in feet, is:
[tex]\[
\sqrt{200}
\][/tex]
Therefore, the correct answer is:
[tex]\[
\sqrt{200}
\][/tex]
