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?
282
likes1408 views
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?
Madelyn
4.786 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.
2. Calculate the area of the backsplash in square inches.
3. Calculate the area of one tile (12 inches by 12 inches).
4. Determine the number of tiles needed.
Therefore, Albert would need 23 tiles to complete the backsplash.
Frequently asked questions (FAQs)
Question: In how many ways can 4 people be arranged in a line?
+
Math question: What is the smallest nonzero positive integer value of n that satisfies Fermat's Theorem for x^n + y^n = z^n when n > 2?
+
What is the length of the hypotenuse when one leg has a length of 10 and the other leg has a length of 15?
+
New questions in Mathematics