A) 35
B) 36
C) 37
D) 38
Correct Answer: B
Solution :
Explanation: The main parallelograms are AFGK and GKMR i.e. - 2 parallelograms the simplest parallelograms are BCHI, DEJL, EFLK, HINO, JLPQ and LKQR i.e. - 6 parallelograms. The parallelograms divided into two parts are: ABGH, CDIJ, DFJK, GHMN, IJOP, JKPR, GBNH and IDPJ i.e. - 8. The parallelograms divided into three parts are: ACGI, BDGI, BDHJ, CEIL, GIMO, GINP, HJNP and ILOQ i.e. - 8 parallelograms. The parallelograms divided into four parts are. BEHL, CFIK, HLNQ and IKOR i.e. - 4 parallelograms. The parallelogram divide into five parts are: ADGJ, BFHK, GJMP HKNR i.e. ? 4 Parallelograms. Other parallelograms are: AEGL, GLMQ, ACNP and BDMO i.e. - 4 parallelograms So, the total number of parallelograms are: \[2+6+8+8+4+4+4=36\]You need to login to perform this action.
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