Question

Find the number of squares in this picture?

Answer 1

`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`

Answer 2

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`

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`