The simplest parallelograms are EMLA and NIDJ i.e. 2 in number.
The parallelograms composed of two components each are BFMG, CGNH, GMKN, FGME, GHNM, MNKL, FGNM, GHIN and MNJK i.e. 9 in number.
The parallelograms composed of three components each are FGLA, ENKA, GHDJ and MIDK ie. 4 in number.
The parallelograms composed of four components each are FGJK, GHKL, FBNK, CHKM, EFHN and MFHI i.e. 6 in number.
The parallelograms composed of seven components each are FHKA and FHDK i.e. 2 in number.
Total number of parallelograms in the figure = 2 + 9 + 4 + 6 + 2 = 23.
The parallelograms composed of two components each are ADME, DFNM, EMOG, FHJN, MNKO, GOLI, HBJN, NJKO, OKLI, FHNM, MNOG, DFME, HJKN, NKLO, OLCI, FNOM, MOIG and DMGE. i.e. 18 in number.
The parallelograms composed of four components each are HOKB, NILJ, FGOH, HOLJ, NICK, FGIN, FMJB, DENH, MGKJ, MGCL, DEIO, FMLK, AENF, AGOD, DMJH, DOKF, EILM and EGKN i.e. 18 in number.
The parallelograms composed of six components each are AEJH, DAIL, DECL, DEJB, HILB and HICJ i.e. 6 in number.
The parallelograms composed of eight components each are FGKB, FGCK and AGKF i.e. 3 in number.
Total number of parallelograms in the figure = 18 + 18 + 6 + 3 = 45.
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