how many squares?...................
Answers
The question is missing the picture. It is given in the attachment.
There are 51 squares in the given picture.
Step-by-Step Explanation:
If you observe the picture carefully then we can able to find out 51 squares.
In (4x4) size, there is 1 square.
In (3x3) size, there are 4 squares.
In (2x2) size, there are 9 squares.
In (1x1) size, there are 16 squares
Green color box => 1 big + 4 small = 5 squares
Brown color box => 1 big + 4 small = 5 squares
Pink color box => 1 big + 4 small = 5 squares
There are 2 small squares in between brown and pink squares.
There are 2 small squares in between green and brown squares.
Add all squares => 1 + 4 + 9 + 16 + 5 + 5 + 5 + 2 + 2 = 49
Also, there are two other squares that are shown in the given attachment. 49 + 2 = 51.
Hence, there are a total of 51 squares in the given picture.
There are 46 squares in total.
Explanation :
- Attachment 1 contains the original figure.
- [Have a look at attachment 2] First, consider one inner big squares among the 4. The innermost has 4 small squares and with itself, the count becomes 5. Similarly, the major sub-square has 4 squares, and adding itself becomes 5.
So, one big sub square has 5 + 5 = 10 squares.
- There are 4 such sub squares. So, count will be 4 x 10 = 40 squares.
- [Attachment 3] Observe the first row's 2, 3 squares. Observe that complete column. You will find 3 squares. So, count = 40 + 3 = 43
- [Attachment 4] Similarly, go by first column's 2, 3 rows, and that path. You will find three squares, among which, the middle one has already got counted in the vertical analysis. So, the no.of squares here are 2 in number; count = 43 + 2 = 45.
- Add major or circumference square to 45, There it goes! 45 + 1 = 46 is the total count of squares present in the given diagram. That's it!
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