Final answer:
To find the total area to be tiled, convert the floor dimensions to inches, multiply to get the area in square inches, and then convert to square feet. The area of the floor is approximately 133.85 square feet.
Step-by-step explanation:
To calculate the total area that needs to be tiled for a floor that is 12 feet 9 inches by 10 feet 6 inches, we start by converting the measurements to inches. Since 1 foot = 12 inches, we multiply the number of feet by 12 to get the equivalent in inches. Here's the calculation:
- 12 feet = 12 × 12 inches = 144 inches
- 9 inches remain unchanged as it is already in inches
- Therefore, the length in inches is 144 + 9 = 153 inches
- Similarly, for the width:
- 10 feet = 10 × 12 inches = 120 inches
- 6 inches remain unchanged as it is already in inches
- Therefore, the width in inches is 120 + 6 = 126 inches
Now, you multiply the length by the width to find the area:
Area = 153 inches × 126 inches = 19278 square inches
To convert square inches to square feet, knowing that there are 144 square inches in 1 square foot:
Area in square feet = 19278 / 144 ≈ 133.85 square feet
Therefore, the total area that needs to be tiled is approximately 133.85 square feet.