It takes 5.22 hours to install carpeting in a room
Step-by-step explanation:
At first lets find the relation between yard, feet and inch
1. 1 yard = 3 feet
2. 1 foot = 12 inches
3. 1 yard = 36 inches
Let us change all measures to inches
∵ 1 yard = 36 inches
∴ 1 yard² = (36)² inches²
- Fine Floors can install 15 square yards of carpeting in 4 hours and
30 minutes
∵ 15 yard² = 15 × (36)² inches²
∴ 15 yards² = 19440 inches²
∵ 1 hour = 60 minutes
∴ 30 minutes = 30/60 = 0.5 hour
∴ 4 hours and 30 minutes = 4.5 hours
∴ Fine Floors can install 19440 inches² in 4.5 hours
∵ The dimensions of the room are 11 feet 9 inches by 13 feet 4 inches
∵ 1 foot = 12 inches
∴ 11 feet 9 inches = 11 × 12 + 9 = 141 inches
∴ 13 feet 4 inches = 13 × 12 + 4 = 160 inches
∴ The area of the room = 141 × 160 = 22560 inches²
Now lets use the ratio method to answer the question
⇒ area of carpeting (in²) : time of carpeting (hr)
⇒ 19440 : 4.5
⇒ 22560 : h
By using cross multiplication
∴ 19440 h = 4.5 × 22560
∴ 19440 h = 101520
- Divide both sides by 19440
∴ h = 5.22 hrs
It takes 5.22 hours to install carpeting in a room
Learn more:
You can learn more about the rate in brainly.com/question/13053630
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