It depends what size squares you use.
If the squares are 1 x 1, then there are 18.
If the squares are 0.5 x 0.5, then there are 72.
If the squares are 0.1 x 0.1, then there are 1,800.
If the squares are 3 x 3, then there are 2, but you have to cut one of them up to fit it in.
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In a 2 by 3 grid, you can count the squares of different sizes. There are 6 individual 1x1 squares, and 2 larger 2x2 squares, which can fit in the grid. Therefore, the total number of squares is 6 (1x1) + 2 (2x2) = 8 squares.
36 of them
4 x 6 = 24
In a 4x3 grid, you can count the number of squares of various sizes. There are 12 unit squares (1x1), 6 squares of size 2x2, and 1 square of size 3x3. Therefore, the total number of squares is 12 + 6 + 1 = 19.
Counting squares whose sides are along the grid-lines, there are 154.