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How many squares #4

(1 votes, average: 1.00 out of 5)

January 15, 2013 by puzzler Leave a Comment

1.) How many squares do you see in this picture ?

how many squares do you see here

how many squares do you see here

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Answer with solution

As all the sides are either horizontal or vertical we can say squares diagonals should be parallel. Now to see if the diagonals are parallel or not, i have drawn the diagonals where its not clear if it is a square or rectangle in the image below.

You can see i have labelled few sides as x and y to help you.

So,
Number of squares with side x/2 = 4
Number of squares with side x = 4
Number of squares with side y = 3
Number of squares with side x+y = 6
Number of squares with side x+y = 0
Number of squares with side x+2y = 1
Number of squares with side 2x+2y = 1

Thus, Total number of squares in above puzzle are 19.

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