Find the number of squares in this picture?

enter image source here

2 Answers
Aug 19, 2017

#40# squares

Explanation:

Work according to a system otherwise you will miss some.

There are 2 sizes of squares shown: smaller ones and bigger ones.

Count the number of:

Smaller squares: there are #8#

Bigger squares: there are 4 rows of 4, and the 2 made up of the smaller squares: there are #18#

Squares of side #2 xx2#: 3 rows of 3: there are #9#

Squares of side #3xx3#: 2 rows of 2: there are #4#

Squares of side #4xx4#: there is #1# big square.

Total number of squares: #8+18+9+4+1 = 40#

Aug 26, 2017

enter image source here

Consider this figure .

Here side of largest square has 4 equal divisons to make each smallest squares.

The number of total squares is #=1^2+2^2+3^2+4^2=30#

i.stack.imgur.com

And similarly for above figure total number of squares is #1^2+2^2=5#

So following this rule we can say that the given figure should have total number of squares #=30+5+5=40#

enter image source here