Question

Find the total number of squares formed in figure?

• A. $22$
• B. $18$
• C. $20$
• D. $30$

Answer 1

The correct option is C $20$

Largest size square formed in this diagram is of size $3\times 3$
No. of $3\times 3$ squares $=2=1\times 2$ (from points 1, 5)
No. of $2\times 2$ squares $=6=2\times 2$ (from points 1, 2, 5, 6, 9, 10)
No. of $1\times 1$ squares $=12=3\times 4$
Hence, total $=1\times 2+2\times 3+3\times 4$
$=3\times 4+2\times 3+1\times 2=20$
Hence, option $C$ is the correct answer.