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Albert is preparing to tile his backsplash. The area is 25 1/2 inches by 10 3/4 feet. He is using 12 inches by 12 inches. How many tiles would he need to complete the backsplash?

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Answer to a math question Albert is preparing to tile his backsplash. The area is 25 1/2 inches by 10 3/4 feet. He is using 12 inches by 12 inches. How many tiles would he need to complete the backsplash?

Expert avatar
Madelyn
4.7
86 Answers
1. Convert the dimensions to the same unit (inches).

10 \frac{3}{4} \text{ feet} = 10 \cdot 12 + \frac{3}{4} \cdot 12 = 120 + 9 = 129 \text{ inches}

2. Calculate the area of the backsplash in square inches.

\text{Area} = 25 \frac{1}{2} \text{ inches} \times 129 \text{ inches} = \frac{51}{2} \times 129 = \frac{51 \times 129}{2} = \frac{6579}{2} = 3289.5 \text{ square inches}

3. Calculate the area of one tile (12 inches by 12 inches).

\text{Area of one tile} = 12 \text{ inches} \times 12 \text{ inches} = 144 \text{ square inches}

4. Determine the number of tiles needed.

\text{Number of tiles} = \frac{3289.5}{144} \approx 22.847 \Rightarrow 23 \text{ tiles}

Therefore, Albert would need 23 tiles to complete the backsplash.

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