We are given the area of a square and we are asked to find its side length. To do that, let's remember the formula for the area of a square:
[tex]A=l^2[/tex]Where:
[tex]\begin{gathered} A\colon\text{ Area} \\ l\colon\text{ side length} \end{gathered}[/tex]We solve for the side length "l", by taking square roots on both sides:
[tex]\sqrt[]{A}=l[/tex]Since we are given that the area is:
[tex]A=82.2cm^2[/tex]Replacing:
[tex]\sqrt[]{82.2}=l[/tex]Solving the operations:
[tex]9.1\operatorname{cm}=l[/tex]Therefore, the side length is 9.1 cm.
