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Count the number of parallelogram in the...

Count the number of parallelogram in the given figure.

A

22

B

20

C

18

D

24

Text Solution

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The correct Answer is:
C

The figure may be labelled as shown.

The squares composed of two components each are BJMI, CKMJ, DLMK and AIMC.e. 4 in number.
The squares composed of three components each are EBMA, BFCM, MCGD and AMDH i.e. 4 in number.
The squares composed of four components each are VWBA, XYCBY:A.Doad B,C,AD i.c. 4 in number.
There is only one square i.e. ABCD composed af cight components There is only one square i.e. EFGH composed of twelve components.
Total number of squares in the figure 4+ 4+4+1+1 = 18.
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