area of a square equals the length of one side squared:
[tex]a = {length}^{2} [/tex]
to find the length of one side:
[tex]length = \sqrt{area} [/tex]
Plugging in:
[tex]length = \sqrt{144 } = 12[/tex]
Since there are 4 sides to a square we multiply the length of one side (12 inches) by 4 to see all the way around.
[tex]12 \times 4 = 48[/tex]
Sonya would need 48 inches