To determine the number of squares in the given figure, we need to consider all possible squares of different sizes within the grid. Here is the step-by-step count:
Count all the smallest 1x1 squares:
The figure consists of a grid of 2 rows and 3 columns of 1x1 squares in each section, resulting in: 6 squares.
Count all the 2x2 squares:
Each section of the grid (left and right) can form a large square by combining four 1x1 squares: 2 squares.
Count the 3x3 squares:
There is no 3x3 square possible as the sections are divided by diagonals.
Identify additional squares created by diagonals:
When considering the full figure divided by diagonals, additional squares can be formed:
Each of the diagonals helps form 1 additional square creating extra smaller squares within each section:
4 more squares made by cross diagonals (e.g. formed within triangles).
Total number of squares = 6 (1x1) + 2 (2x2) + 4 (via diagonals) = 12.
