How many parallelograms are there in the figure given below?
A
11
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B
14
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C
17
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D
15
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Solution
The correct option is D15
The simplest parallelograms are LMHJ and BDFM i.e. 2 in number.
The parallelograms composed of two components each are ABML and MFGH i.e. 2 in number.
The parallelograms composed of three components each are LBHI, LBEF, BDGH, DFLA, BCFH, KLFH, ABHJ and LFGJ i.e. 8 in number.
The parallelograms composed of six components each are LCFI, KBEH and ADGJ i.e. 3 in number.
Total number of parallelograms in the figure =2+2+8+3=15.