Determine the number of rectangles and hexagons in the given figure.
30,5
27,3
28,5
30,3
32,3
Rectangles:
The simplest rectangles are CVSR, VETS, RSWM and STKW i.e. 4 in number.
The rectangles composed of two components each are CETR, VEKW, RTKW and CVWM i.e. 4 in number.
The rectangle composed of three components each are ACRP, PRMO, EGHT, THIK i.e. 4 in number.
The rectangle composed of 4 components each are CEKM, AVSP, PSWO, VGHS and SHIW i.e. 5 in number.
The rectangle composed of 5 components each are AETP, PTKO, CGHR and RHIM i.e. 4 in number.
The rectangles composed of 6 components each are ACMO and EGIK i.e. 2 in number.
The rectangle composed of 8 components each are AGHP, PHIO, AVWO and VGIW i.e. 4 in number.
The rectangle composed of 10 components each are AEKO and CGIM i.e. 4 in number.
AGIO is the only rectangle having 16 components.
Total rectangles=4+4+4+5+4+2+4+2+1=30
Hexagon:
The hexagon in the given figure are CDEKLM, CEUKMQ, CFHJMQ, BEVKNP and BFHJNP.
So, there are 5 hexagon in the figure.