20cm x 20cm uses 5 whole tiles, 4 half tiles, and 4 quarter tiles. Describe a method for calculating how many tiles of each type you needs for larger square tabletops.
Total tiles = 5 * (4/4) + 4 * (2/4) + 4 * (1/4) = (20 + 8 + 4) / 4 = 32 / 4 whole tile equivalents = 8 whole tile equivalents We can conclude that since 20 x 20 = 400 = 8 whole tile equivalents the area of one whole tile is 400/8 = 50 sq cm So we take the dimensions of the table, a * b, and divide by 50 to find out how many whole tile equivalents we'll need. How many whole, half, and quarter tiles will be needed depends on the shape of the table and the exact dimensions of both the table and the tiles. The tiles might be any of these sizes: 5 x 10 cm 4 x 12.5 cm 8 x 6.25 cm or some other numbers as long as the product is 50 sq cm.
