Following the setps we have that
[tex]\begin{gathered} n\cdot n=64 \\ n^2=64 \\ n=\sqrt[]{64}=8 \end{gathered}[/tex]the lengths of the sides of the original square is 8 inches each one. Now we are going to find the lengths of the sides of the new square following the step 2
[tex]8\cdot\frac{3}{2}=\frac{24}{2}=12[/tex]the lengths of the sides of new square is 12 inches each one.