Count the number of rectangles in the given figure.
...
Count the number of rectangles in the given figure.
8
17
18
20
Correct answer is C
The figure may be labelled as shown.
The simplest rectangles are ABQP, PQNO, BCDN, NDEM, MEFL, LFJK, FGHR and RHIJ i.e. 8 in number.
The rectangles composed of two components each are ABNO, BCEM, NDFL, MEJK and FGIJ i.e. 5 in number.
The rectangles composed of three components each are ACDO, BCFL, NDJK and LGIK i.e. 4 in number.
There is only one rectangle i.e. BCJK composed of four components.
Total number of rectangles in the figure = 8 + 5 + 4 + 1 = 18.
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