jmc

There are three different sizes for the squares that can be traced in the figure: $1\times 1,$ $2\times 2,$ and $3\times 3.$ The table below shows how many squares can be traced for each size. $$\begin{array}{cc}& \text{Number of}\\ \text{Sizes}& \text{Squares}\\ 1\times 1& 21\\ 2\times 2& 12\\ 3\times 3& 5\\ \text{multicolumn}2|c|\text{Total 38}& \end{array}$$