question_answer

Find the number of rectangles in the given figure.

A)  20                                         

B)  18

C)  16                         

D)         15

Correct Answer: A

Solution :

The figure may be labelled as shown. The rectangles composed of two components each are HUE, EKLF, FMNG, GPQH, AEOH, EBFO, OFCG and HOGD i.e. 8 in number. The rectangle composed of four components each are ABFH, BCGE, CDHF, DAEG and EFGH i.e. 5 in number. The rectangle composed of six components each are IJFG, KLGH, MNHE and ABCD i.e. 3 in number. Thus, there are \[\text{8}+\text{5}+\text{4}+\text{3}=\text{2}0\] rectangles in the given figure. (Here note that the squares are also counted amongst rectangles).