The area of the square is 64 square centimeters.
The side of the square can be determined as,
[tex]\begin{gathered} A=a^2 \\ 64=a^2 \\ a=8\operatorname{cm} \end{gathered}[/tex]The perimeter of the square can be determined as,
[tex]\begin{gathered} P=4a \\ =4\times8\operatorname{cm} \\ =32\operatorname{cm} \end{gathered}[/tex]Thus, the required perimeter is 32 centimeters.
