How many Squares in this picture #2

You might want to try How many squares – Part 1 before you attempt these 3 puzzles.

1.) How many squares are in this picture ?

How many squares are in this picture

How many squares are in this picture


Answer with Solution

There are a total of 12 squares.
How?
Actually finding number of squares in this picture is a little tricky, i would recommend you to take a print out or open the image in Microsoft paint.

Basically idea is to draw diagonals rectangles, now as sides of the squares are parallel (either horizontal or vertical) so diagonals should also be parallel, as the outer most rectangle is nothing but square we should take this as a reference.

I have drawn few yellow lines as diagonals for reference.

how many squares are in this picture solution

how many squares are in this picture – solution

Number of Squares in above image(marked with red): 4 (we will consider other rectangles in next images)

how many squares in this picture - answer

how many squares in this picture – answer

Number of Squares in above image: 3(in blue) + 3(in green) + 2(in red) (other 4 rectangles are not squares as their diagonal is not parallel to the yellow lines.)

Thus, total number of squares: 4+3+3+2= 12

2.) How many squares are in this picture ?

how many squares are in this picture 2

how many squares are in this picture 2

Answer with solution

As in the previous puzzle solution, i have drawn few diagonals, which will help you distinguish between squares and rectangles.

If you are not sure, try again with this picture, it should be easy.

how many squares are in this picture 2 - solution

how many squares are in this picture 2 – solution

There are a total of 16 squares.
How?

how many squares are in this picture - answer

how many squares are in this picture – answer

Number of squares in above image: 6( 5 red + 1 blue)
how many squares are in this picture - answer

how many squares are in this picture – answer

Number of squares in above image: 10( 2 black + 2 green + 2 blue + 4(marked 1,2,3,4 in red))

Thus, Total number of squares in above picture is 16.

3.) How many squares are in this picture ?

how many squares are in this picture 3

how many squares are in this picture 3

Answer with solution

there are a total of 20 squares.
How?

how many squares are in this picture - answer

how many squares are in this picture – answer

Lets assume that smallest square side(as in the above image) is 0.5 cms, then
Number of squares with side 0.5 cms: 4
Number of squares with side 1 cms: 9
Number of squares with side 1.5 cms: 4
Number of squares with side 2 cms: 2+2+1+1(6)
Number of squares with side 3 cms: 1

Thus, Total number of squares 24.

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  • Miroslava

    + Number of squares with side 1.5 cms: 4

    Total number of squares 24 :)

    • puzzlersworld

      @53bb601030d46541bc81f75b8cb922be:disqus Thanks for the correction. i updated the post

  • SFNative

    For #2 above there’s actually 17 of them – you may be missing a square that’s almost as big as the biggest square itself.