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
4.788 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)
What are the angles and sides of an isosceles triangle if its base measures 10 cm and each congruent side measures 8 cm?
+
What is the quadratic formula used to solve the equation ax^2 + bx + c = 0?
+
What is the number of ways to arrange 5 books on a shelf out of 10, if order matters?
+
New questions in Mathematics