The area of the finished quilt can be calculated as:
[tex]\text{Area}=a^2[/tex]Where a is the length of each side of the quilt.
We know that the area is 36 square feet, so we can replace the area on the initial equation and solve for a:
[tex]\begin{gathered} 36=a^2 \\ \sqrt{36}=a \\ 6=a \end{gathered}[/tex]So, the length of one side of the finished quilt is 6 feet
Answer: 6 feet