question_answer

How many rectangles are in the given structure?

A)  21                              

B)  27

C)  30

D)  31

Correct Answer: C

Solution :

 

1\[\to \]AEOK

2\[\to \]AEJF, FJOK

4\[\to \]ABLK, BCML, CDNM, DEON

2\[\to \]ACMK, ADNK

2\[\to \]ECMO, EBLO

2\[\to \]ACHF, ADIF

2\[\to \]ECHJ, EBGJ

2\[\to \]FHMK, FINK

2\[\to \]JHMO, JGLO

1\[\to \]BDNL

2\[\to \]BDIG, GINL

8\[\to \]ABGF, BCHJ, CDIH, EDIJ, FGLK, GHML, HINM

Total no. of rectangles

\[=(1+2+4+2+2+2+2+2+2+1+2+8)=\]