Final answer:
The length of each tile is approximately 2/3 feet or 0.67 feet when 6 1/2 tiles make a total length of 4 feet 4 inches.
Step-by-step explanation:
When 6 1/2 tiles are placed end to end, the total length of the tiles is 4 feet 4 inches. To find the length of each tile in feet, we need to start by converting the total length into inches and then divide by the number of tiles. There are 12 inches in a foot, so 4 feet is 48 inches. Adding the additional 4 inches gives us a total of 52 inches.
Now, since 6 1/2 tiles make up 52 inches, we can write this as a ratio:
6.5 tiles/52 inches = 1 tile/x inches. We can solve for x to find the length of one tile:
6.5 * x = 52
x = 52 / 6.5
x = 8
So, each tile is 8 inches long. To convert this to feet, we divide by 12, as there are 12 inches in a foot:
x inches / 12 inches per foot = x feet
8 inches / 12 = 2/3 feet or approximately 0.67 feet.
Therefore, the length of each tile is approximately 2/3 feet or 0.67 feet.