How many squares are there in the square figure ABCD?

Options

A. 16
B. 17
C. 26
D. 30

Answer

D

Explanation

The squares are:
ABCD, AFUO, FBIIU, OULD, UICL, EGVT, TVKM, PRXN.
RHJX, QSYW, AEQP, PQTO,
OTWN, NWMD, EFRQ, QRUT,
TUXW, WXLM, FGSR, RSVU,
UVYX, XYKL, GBHS, SHIV, VIJAY, YJCK, AGYN, EBJW, PSKD, QHCM.
Thus, there are 30 squares.
IInd Method : Required number of squares
`=overset(4)underset(t=1)Sigma n^(2)=1^(2)+2^(2)+3^(2)+4^(2)=30`