Count the nunber of rectangles in the given figure.

Options

A. 20
B. 18
C. 16
D. 14

Answer

A

Explanation

The figure may be labelled as shown.

The rectangles composed of two components each are HIJE, EKJ,F, FMNG, GPQH, AEOH, EBFO, OFCG and HOGD i.e. 8 in number.
The rectangles composed of four components each are ABFH, BCGE, CDHF, DAEG and EFGH i.e. Sitrumber.
The rettangles composed of six components each are IJFG, KLGH, MNHE and PQEF i.e. 4 in number.
The rectangles composed of eight components each are IJMN, KLPQ and ABCD i.e. 3 in number,
Thus, there are 8+ 5+ 4 + 3 = 20 rectangles in the given figure. (Here note that the squares are also counted amongst rectangles)