Question

In the following questions, count the number of squares in the given figure

• A. 18
• B. 19
• C. 25
• D. 27

Answer 1

The correct option is D 27

The simplest squares are EFRQ, MQYX, QRZY, RNSZ, LXWK, $XY{A}_{1}W$, $YZ{B}_1{A}_1$, $ZST{B}_1$, SGHT, $W{A}_{1}VP$, $A_1{B}_{1}UV$, $B_{1}TOU$ and VUIJ i.e. 13 in number.
The squares having two components each are AEYL, FBGZ, $K{A}_{1}JD$ and $B_{1}HCI$ i.e. 4 in number.
The squares having four components each are $MR{B}_{1}W$, $QNT{A}_1$, XZUP and YSOV i.e. 4 in number.
The squares having seven components each are $AF{B}_{1}K$, $EBH{A}_1$, LZID and YGCJ i.e. 4 in number.
There is only one square i.e. MNOP composed of nine components.
There is only one square i.e. ABCD composed of seventeen components.
There are $13+4+4+4+1+1=27$ squares in the figure.