we know that
The area of a square is equal to
[tex]A=s^{2}[/tex]
where
s is the length side of a square
To solve for a side length of a square, isolate the variable s
[tex]A=s^{2}[/tex]
square root both sides
[tex]s=\sqrt{A}[/tex]
In this problem we have
[tex]A=227\ in^{2}[/tex]
substitute in the formula to find s
[tex]s=\sqrt{227}\ in[/tex]
therefore
the answer in the attached figure
