The following tile floor pattern is made of 36 square tiles. The tiles form a rectangle. The length of the long side of the rectangle is 42.75 inches.

A 4 by 9 rectangle is shown containing 36 square tiles. The long dimension is labeled 42.75 inches.

Which is the side length, in inches, of one tile?

To find the side length of one tile, we divide the length of the long side of the rectangle by the number of tiles in one row or column. Since the rectangle has 9 tiles in each row, we divide 42.75 by 9:

42.75 inches / 9 tiles = <<42.75/9=4.75>>4.75 inches

Therefore, the side length of one tile is 4.75 inches.