If each tile costs 50 cents, what will it cost to cover an 8-foot square floor with 8-inch tiles?

To determine the total cost of covering an 8-foot square floor with 8-inch tiles, we first need to calculate the area of the floor and the area covered by a single tile, and then figure out how many tiles are needed.

1. Calculate the area of the floor: An 8-foot square floor means each side of the square is 8 feet. The area is calculated as follows:

[

\text{Area of the floor} = \text{side} \times \text{side} = 8 \text{ ft} \times 8 \text{ ft} = 64 \text{ square feet}

]

2. Convert the size of the tiles from inches to feet: The tiles are 8 inches square. To convert inches to feet, divide by 12 since there are 12 inches in a foot:

[

\text{Tile size in feet} = \frac{8 \text{ inches}}{12} = \frac{2}{3} \text{ foot}

]

Thus, the area of one tile in square feet is:

[

\text{Area of one tile} = \left(\