The formula for the perimeter of square with side a is,
[tex]P=4a[/tex]Determine the side of square for P = 36.
[tex]\begin{gathered} 36=4a \\ a=\frac{36}{4} \\ =9 \end{gathered}[/tex]The formula for the area of square is,
[tex]A=a^2[/tex]Substitute the value of a in the formula to obtain the area of square.
[tex]\begin{gathered} A=(9)^2 \\ =81 \end{gathered}[/tex]So area of square is 81 square inches.