Respuesta :

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.