Answer: 11 (or 10 if the square is not to be counted)
Step-by-step explanation:
Start with 1: If you have 1 piece on the top and 1 piece on the bottom, then there are 24 - 2 = 22 pieces left for the sides, which results in 11 on each side. Continue this with 2 pieces on the top, then 3 pieces on the top, etc. You will eventually see a pattern.
Here are all of the ways you can lay out the pieces of wood to form 4 sides:
1 x 11
2 x 10
3 x 9
4 x 8
5 x 7
6 x 6 --> this is a square. should this be counted as a rectangle?
7 x 5
8 x 4
9 x 3
10 x 2
11 x 1
