Activity 1 - Answer
How many squares can a square, square make?
How many squares can a square, square make?
Based on a strict geometric interpretation (ignoring the rectangular distortion and treating them as a perfect grid), there are 17 squares hidden in the image.
Here is the breakdown of where the 17 squares are located:
If you imagine the grid lines that form these shapes, there are 13 small, individual squares (think of them as the 1 x 1 blocks that make up the bigger shapes).
Left Section (Blue area): 3 unique small squares (forming an L-shape).
Overlap 1 (Blue/Orange): 1 small square in the intersection.
Middle-Left Section (Orange area): 2 unique small squares (top-left and bottom-right of the orange block).
Overlap 2 (Orange/Green): 1 small square in the intersection.
Middle-Right Section (Green area): 2 unique small squares.
Overlap 3 (Green/Red): 1 small square in the intersection.
Right Section (Red area): 3 unique small squares (forming an L-shape).
Calculation: 3 + 1 + 2 + 1 + 2 + 1 + 3 = 13
These are the original four overlapping shapes themselves. Each one is made of 4 small unit squares ($2 \times 2$ grid).
The Main Blue Square
The Main Orange Square
The Main Green Square
The Main Red Square
Calculation: 13 (Small) + 4 (Large) = 17
Google. (2026). Gemini [Large language model]. https://gemini.google.com