4 x 6 = 24
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Counting squares whose sides are along the grid-lines, there are 154.
Squares in the Egyptian Grid System were measured by cubit rods. For example, 6 cubits is equivalent to roughly 10 feet.
In a 4 by 4 grid, there are 16 squares (1x1 squares), 9 rectangles that are 2x1, 6 rectangles that are 3x1, 4 rectangles that are 2x2, and 1 rectangle that is 4x4. Therefore, in total, there are 16 squares and 20 rectangles in a 4 by 4 grid.
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.