question_answer

Count the number of parallelograms in the given figure.

A) 20                                

B) 18              

C) 16                                

D) 12

Correct Answer: B

Solution :

: Parallelograms made up of ore segment each: AEKJ, EFLK, FBGL, GCHL LHIK, KIDJ i.e.,6. Parallelograms made up of two segment each: AEID, EFHI, FBCH, AFU, EBGK, JLHC KGCIi.e.,7. Parallelograms made up of three segment each: ABGJ, GCDJ i.e., 2. Parallelograms made up of four segments each: AFHD,EBCIi.e.,2. Parallelogram made up of six segments each: ABCD i.e., 1. So, total number of parallelogram-; =6+7+2+2+1=18.