Determine the number of rectangles and hexagons in the given figure.

  • Option 1)

    30,5 

  • Option 2)

    27,3  

  • Option 3)

     28,5 

  • Option 4)

    30,3

  • Option 5)

     32,3  

Answers (1)

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.

 

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