Given a 100 by 100 square grid, what is the most number of 1 by 51 rectangles that we can cut out of it?
To determine the maximum number of 1 by 51 rectangles that can be cut out of a 100 by 100 square grid, we need to observe the dimensions of both the square grid and the rectangle.
Given that the square grid is 100 by 100, and each 1 by 51 rectangle has one side measuring 1 unit and the other side measuring 51 units, we can deduce that the rectangle must span the entire width of the grid (100 units) while its height remains at 1 unit.
For each horizontal row of the grid, we can fit a single 1 by 51 rectangle. Since the grid has a height of 100 units, this means we can fit 100 such rectangles vertically.
Therefore, the maximum number of 1 by 51 rectangles that can be cut out of a 100 by 100 square grid is 100.