Count the number of rectangles in the given figure. p> ?->(Show Answer!)

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1. Count the number of rectangles in the given figure.

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By: guest on 02 Jun 2017 01.57 am

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. 5 in number. The rectangles 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)

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