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

Study for the SAE Mathematics Exam. Study with flashcards and multiple choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

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

Explanation:
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(\

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}

]

  1. 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(\

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