Answer:
Here’s a breakdown of how to count the squares in the image:
1. Smallest Squares (1x1):
- Count all the individual small squares.
- There are 16 squares in the main grid (4 rows x 4 columns).
- Inside the top larger square, there are 4 small squares.
- Inside the bottom larger square, there are 4 small squares.
- Total 1x1 squares = 16 + 4 + 4 = 24
2. 2x2 Squares:
- Within the main 4x4 grid, you can form 2x2 squares.
- Top row: 3 (starting at column 1, 2, 3)
- Second row: 3
- Third row: 3
- Total 2x2 squares in main grid = 9
- The two internal squares are each 2x2 squares.
- Total 2x2 squares = 9 + 2 = 11
3. 3x3 Squares:
- Within the main 4x4 grid, you can form 3x3 squares.
- Top row: 2 (starting at column 1, 2)
- Second row: 2
- Total 3x3 squares = 4
4. 4x4 Squares:
- There is 1 main 4x4 square (the entire outer grid).
Total Count:
- 1x1 squares: 24
- 2x2 squares: 11
- 3x3 squares: 4
- 4x4 squares: 1
- Grand Total = 24 + 11 + 4 + 1 = 40
So, you found 40 squares.