Four How many squares are there

1.)

how many squares are in this picture

how many squares are in this picture


See Answer

There are total of 40 squares.

How?
Let’s assume the smallest square side is 0.5cm in length.

Now count the squares with different length :-
0.5cm : 8
1cm : 16 +2(in the middle)
2cm : 9
3cm : 4
4cm : 1
————
Total : 40


2.) How many squares are in this picture ?
how many squares

how many squares in this picture


See Answer

There are total of 16 squares.
How?

Lets count…
Squares with side length equal to 1 matchstick: 9
Squares with side length equal to 2 matchsticks: 5(2+1+2)
Square with side length equal to 3 matchsticks: 1 (This is difficult to find, and easy to miss)
Square with side length equal to 4 matchsticks: 1 (Everybody knows)
So total number of squares : 16

This image(courtsey Charles on facebook) explains it all:-

How many squares matchstick solution

How many squares matchstick solution




3.) How many squares are in this picture ?
how many squares do you see in this picture

how many squares do you see in this picture


See Answer

There are a total of 17 squares.
How?
Lets count !!

Assuming smallest square side is 1 cm, then

Number of squares with side 1 cm: 12 (remember not to count middle 4 squares twice)
Number of squares with side 2 cm: 5 (remember not to count middle squares twice)
So Total number of squares is 17


4.) How many squares are in this picture ?
how many squares do you see in this picture

how many squares do you see in this picture


See Answer

There are a total of 30 squares.
How?
Lets count !!

Assuming smallest square side is 1 cm, then

Number of squares with side 1 cm: 16
Number of squares with side 2 cm: 9
Number of squares with side 3 cm: 4
Number of squares with side 4 cm: 1
So Total number of squares is 30.

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  • http://www.facebook.com/troy.james.5249 Troy James

    No.2. your answer is wrong as the only square there is the outline around the pile of matches. Definition of a square! 2 dimensional shape with 4 sides of equal length AND 4 CORNERS of equal angle(90*). Therefore because 1. none of the matches are touching and 2. the small bulbs at the end of each match means that there are no squares made from the matches!

    • Antonio

      I like the way you count, but I don’t think they will give so much a trick on the bulbs of the matches. ;-)

    • doob

      That was my first answer as well, but the outline does not exist in some versions now they actually say ignore the gaps between matches.

      • puzzlersworld

        @8055d3dc5a03e31c1618a4da64e27dcc:disqus YES, gap between matchsticks should be ignored

    • http://www.facebook.com/charles.goodridge Charles G

      I agree with Troy answer should be zero. Question is flawed you it should have stated to ignore the gaps.

      • jamie williams

        And should we ignore your improper spelling as well?… yeah that’s what I thought… just like we know what you meant, we know what they mean.

        • http://www.facebook.com/charles.goodridge Charles G

          Thanks

      • motherf*cker

        ignore the gaps madafakars

    • jamie williams

      Its not rocket science dude…. there just sticks

    • http://www.facebook.com/people/Phil-Fisette/100001088064189 Phil Fisette

      A square not only has 4 sides, but it also has 4 vertices. The matchsticks are not touching. So there are zero squares (or 1 square if you count the border of the image).

  • http://www.facebook.com/bamagrannie Shirley Johnson Shumate Havel

    I don’t think it is 16, because if they are not square, same size on all four sides, that is a rectangle. I answered 9, but could possibly be 10 if they count the whole puzzle as 1 square.

    • doob

      16 is correct

    • Guest

      If you’re talking about the second question, it is 16. The one I had trouble finding was on the bottom left. Count from the bottom up 3 match sticks, go 3 to the right, then 3 down. That was #16 for me.

    • brenan85

      I don’t think you’re doing it right.. 16 is correct

  • http://www.facebook.com/marius.scholtz Marius Scholtz

    Puzzel # 2 is 17

    Squares with side length equal to 2 matchsticks: 6

    • Yeah Whatevs

      Nice try.. I’ll mail you a cheque for $1,000 if you can tell me where the 6 2×2 squares are….

      • Guest

        2 x 2 squares…
        one in each corner / quarter (4)
        one dead center (1)
        one top right (1)

        =6

        Mail check to… ;)

        • jamie williams

          Your a moron you counted the one in the top right corner twice

          • http://www.facebook.com/marius.scholtz Marius Scholtz

            Right Jamie, this I realized but thanks for pointing it out. Do you not see my post above?

      • http://www.facebook.com/marius.scholtz Marius Scholtz

        Blush, I counted the top right one twice.

        16 it is

    • mickeygodsall

      wheres the extra 1?

  • http://www.facebook.com/people/Charles-Dearing/504669855 Charles Dearing
    • puzzlersworld

      @facebook-504669855:disqus Thanks, nice explanation