Question

Count the number of squares in the given figure.

• A. $20$
• B. $18$
• C. $22$
• D. $14$

Answer 1

The correct option is B $18$



The squares composed of two components each are BJMI, CKMJ, DLMK and AIML i.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, XYCB, $Z{A}_{1}DC$ and $B_1{C}_{1}AD$ i.e. $4$ in number.

The squares composed of seven components each are NOJL, PQKI, RSLJ and TUIK i.e. $4$ in number.

There is only one square, i.e. ABCD composed of eight components.

There is only one square, i.e. EFGH composed of twelve components.

$\therefore$ Total number of squares in the figure $=4+4+4+4+1+1=18.$