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

    Determine the number of rectangles and hexagons in the given figure. 30, 5 32, 3 28, 5 30, 3 The fig


  • Options
  • A. 30, 5
  • B. 32, 3
  • C. 28, 5
  • D. 30, 3

  • Correct Answer
  • 30, 5 

    Explanation
    The figure may be labelled as shown.

    Determine the number of rectangles and hexagons in the given figure. 30, 5 32, 3 28, 5 30, 3 The fig

    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, RTKM and CVWM i.e. 4 in number.

    The rectangles composed of three components each are ACRP, PRMO, EGHT and THIK i.e. 4 in number.

    The rectangles composed of four components each are CEKM, AVSP,PSWO, VGHS and SHIW i.e. 5 in number.

    The rectangles composed of five components each are AETP, PTKO, CGHR and RHIM i.e. 4 in number.

    The rectangles composed of six components each are ACMO and EGIK i.e. 2 in number.

    The rectangles composed of eight components each are AGHP, PHIO, AVWO and VGIW i.e. 4 in number.

    The rectangles composed of ten components each are AEKO and CGIM i.e. 2 in number.

    AGIO is the only rectangle having sixteen components.

    Total number of rectangles in the given figure

    = 4 + 4 + 4 + 5 + 4 + 2 + 4 + 2 + 1 = 30.

    Hexagons:

    The hexagons in the given figure are CDEKLM, CEUKMQ, CFHJMQ, BEUKNP and BFHJNP.

    So, there are 5 hexagons in the given figure.

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    More questions

    • 1. 
      Choose the correct figure to complete the matrix.

    • Options
    • A. (a)
    • B. (b)
    • C. (c)
    • D. (d)
    • Discuss
    • 2. 
      NA

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 3. 
      NA

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 4. 
      NA

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 5. 
      REASONING

    • Options
    • A. .
    • B. .
    • C. .
    • D. .
    • Discuss
    • 6. 
      NA

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 7. 
      NA

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 8. 
      P1PA2PU

    • Options
    • A. .
    • B. .
    • C. .
    • D. .
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    • 9. 
      MISSISSIPPI

    • Options
    • A. .
    • B. .
    • C. .
    • D. .
    • Discuss
    • 10. 
      NA

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss


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