The table shows how many rectangles of every possible size can be accommodated in the grid. Imagine taking 99 tiles and making them into a 9×11 rectangular grid. The table contains boxes showing how many tile combinations of different dimensions can fit into the grid. For example, if we take a 1×9 rectangle made of 9 tiles arranged side by side we can fill the whole grid using 11 rectangles of this size. So column 9 row 1 (C9R1) contains 11. If, however, we take a 3×4 rectangle (12 tiles stuck together, 3 columns and 4 rows, C3R4), we can fit 3 rectangles exactly into 9 columns of the grid, but we can only fill 8 rows of the grid with two rectangles of tiles, leaving the remaining three rows unoccupied. Hence the C3R4 box in the table contains 6. The remaining 3 rows would need tiles making up a different sized rectangle (for example, three 3×3 rectangles); but these three rectangles are already included in the C3R3 box in the table, so we can't count them again. The table doesn't tell us anything about the position of rectangles in the grid; it merely shows the maximum number of rectangles of a given size that will fit into the grid (that is, how the grid can be divided into rectangles of a certain size). (It doesn't show what rectangles, and how many of each size, are needed to completely fill the grid, because this would lead to different numbers depending on the size of the individual rectangles.) On this basis, then, the table shows 667 rectangles can be accommodated in the grid.