3. A rectangular bathroom floor is covered with square tiles that are 1- feet by 1 feet. The length of the 4 4 bathroom floor is 11 feet and the width is 7 feet. 4 a. How many iles does it take to cover the length of the floor? 14 or l b. How many tiles does it take to cover the width of the floor?
3. A rectangular bathroom floor is covered with square tiles that are 1- feet by 1 feet. The length of the 4 4 bathroom floor is 11 feet and the width is 7 feet. 4 a. How many iles does it take to cover the length of the floor? 14 or l b. How many tiles does it take to cover the width of the floor?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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right or wrong?
Transcribed Image Text:**Tiling a Bathroom: Sounds Like Fun**
**Math HW (11/8-11/12)**
**Solve each problem. You must show your work. No work = No credit.**
A rectangular bathroom floor is covered with square tiles that are \(1 \frac{1}{4}\) feet by \(1 \frac{1}{4}\) feet. The length of the bathroom floor is \(11 \frac{1}{2}\) feet, and the width is \(7 \frac{1}{2}\) feet.
a. How many tiles does it take to cover the length of the floor?
- Work: \( \frac{11 \frac{1}{2}}{1 \frac{1}{4}} = \frac{23}{2} \div \frac{5}{4} = \frac{23}{2} \times \frac{4}{5} = \frac{92}{10} = 9.2 \)
- Answer: Approximately 9 or 10 tiles.
b. How many tiles does it take to cover the width of the floor?
- Work: \( \frac{7 \frac{1}{2}}{1 \frac{1}{4}} = \frac{15}{2} \div \frac{5}{4} = \frac{15}{2} \times \frac{4}{5} = \frac{60}{10} = 6 \)
- Answer: 6 tiles.
**Exciting Multiplication Problems:**
Find each product. Show your work.
1. \( \frac{5}{4} \times 2 = \frac{10}{4} = 2 \frac{1}{2} \)
2. \( \frac{1}{2} \times 15 = \frac{15}{2} = 7.5 \)
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