20. A square is cut in half. The two resulting squares each have an area of $32 \mathrm{in}^{2}$. How long wess ench side of the original square?

Step 1 ：The area of a square is given by the formula \(A = s^2\), where \(s\) is the length of a side of the square.

Step 2 ：If the two resulting squares each have an area of \(32 \mathrm{in}^{2}\), then the side length of each of these squares is \(\sqrt{32}\).

Step 3 ：Since the original square was cut in half to create these two squares, the side length of the original square is twice the side length of one of the resulting squares.

Step 4 ：Calculate the side length of the original square: \(2 \times \sqrt{32} = 11.31\)

Step 5 ：Final Answer: The length of each side of the original square is \(\boxed{11.31}\) inches.