jmc

We start off with $\text{1}$ large rectangle. Then the horizontal and vertical lines together split the large rectangle into $\text{4}$ smaller rectangles. In addition, the vertical line by itself splits the large rectangle into $\text{2}$ rectangles and the horizontal line by itself splits the large rectangle into $\text{2}$ other rectangles. There are $1+4+2+2=\boxed{9}$ different rectangles in the figure.