How Many Squares?

Probability Level 1

How many squares are there in the above image?

15 20 25 30

1 solution

Denton Young
Dec 20, 2016

12 1 by 1 squares,
6 2 by 2 squares,
1 3 by 3 square,
1 4 by 4 squares

A total of 20 squares.

Sorry, can't find the 3x3. Where is it hiding?

Richard Costen - 4 years, 5 months ago

The five 1x1 small squares surrounding the solid 2x2 square in the upper left make a 3x3 square.

Denton Young - 4 years, 5 months ago

Thanks. I can see it now. Strange that square is so hard to spot.

Richard Costen - 4 years, 5 months ago

Got 19, didn't find 3x3 one.

Stranger rr - 4 years, 5 months ago

I also approached it by listing out these cases. Sometimes, that's the best we can do (though I wonder if there is a better way).

Chung Kevin - 4 years, 5 months ago

Coudn't find the 3×3 square

Rami Serapian - 4 years, 5 months ago

got 7-2 by 2 box .GOT 21 CHECK IT OUT

moumi roy - 4 years, 5 months ago

bro,how did you get 7 - 2 by 2 box?

fahim saikat - 4 years, 5 months ago

Actually, there are only 19 true squares with equal quadrilateral with 90 degrees, now there is 20 quadrilateral in this puzzle.

Mitchell Wilson - 3 years, 5 months ago

20 square..3 3 square is found by drawing imaginary line in empty sq..then u find 3 3 sq..

Sanjay Kumar - 3 years, 5 months ago

I disagree. There is 21

Nicholas Burgos Ribeiro - 4 years, 5 months ago

Which extra one did you find? If your count disagrees with Denton's can you explain which type of square it is?

Chung Kevin - 4 years, 5 months ago