Can you count the number of squares in the figure below
Can you count number of squares in a figure below ?
Assuming smallest square side is 1 cm, then
Total number of squares with side 1 cm: 16
Total number of squares with side 2 cm: 9
Total number of squares with side 3 cm: 4
Total number of squares with side 4 cm: 1
Adding 16+9+4+1 = 30
How many squares, of any size, can you find on this chess board which do not contain a Rook?
There are 62 squares of size 1x1.
There are 41 squares of size 2x2.
There are 18 squares of size 3x3.
There are 6 squares of size 4x4.
There is 1 square of size 5x5.
A total of 62 + 41 + 18 + 6 + 1 = 128.
Can you find out the number of squares in the given picture?
There are 12 squares in the picture.
The trick to find it would be drawing diagonals. We know that the sides of a square are parallel and thus, the diagonals should be parallel as well. Let us begin with the outer most rectangle. See the picture. The yellow lines are diagonals drawn for reference.
You can make out four squares in the image.
Now see the next image. You can make out a total of 8 squares - 3 blue, 3 green and 2 red. There are 4 other rectangles in the figure but they cant be square as their diagonal is not parallel with the yellow lines we drew for reference.
Thus, total squares = 4 + 8 = 12.