The figure is labelled as shown :
Simplest rectangles are AEHG, EFIH, FBKJ, JKCL and GILD. i.e. there are 5 such rectangles. The rectangles composed of two components each are AFIG and FBCL.
Thus, there are 2 such rectangles. Only one rectangles, namely AFLD is composed of 3 components and only one rectangle, namely ABCD is composed of 5 components.
Thus, there are 5 + 2 + 1 + 1 = 9 rectangles in the figure.
