Question

You are trying to pick the largest bed for yourself. Option A measures 4 13 feet by 7 18 feet. Option B measures 5.2 feet by 6.8 feet. Which bed would give you the larger area to sleep on?NOTE: A=l⋅w (2 points)ResponsesOption BOption BOption A

Answer 1

To find the bed with the larger area, we need to calculate the area of both Option A and Option B using the formula for area \( A = l \cdot w \), where \( l \) is the length and \( w \) is the width.

### Option A:
The dimensions are given as 4 13 feet by 7 18 feet. We need to first convert these measurements into decimal form.

1. **Convert 4 13 feet**:
- 13 feet is 13/12 = 1.0833 feet (approximately), so 4 13 feet = 4 + 1.0833 = 5.0833 feet.

2. **Convert 7 18 feet**:
- 18 feet is 18/12 = 1.5 feet, so 7 18 feet = 7 + 1.5 = 8.5 feet.

Now we can calculate the area for Option A:
\[
A_{A} = 5.0833 \, \text{ft} \times 8.5 \, \text{ft} \approx 43.208 \, \text{square feet}
\]

### Option B:
The dimensions are given as 5.2 feet by 6.8 feet.
Now we calculate the area for Option B:
\[
A_{B} = 5.2 \, \text{ft} \times 6.8 \, \text{ft} = 35.36 \, \text{square feet}
\]

### Comparing the Areas
- Area of Option A: \( 43.208 \, \text{square feet} \)
- Area of Option B: \( 35.36 \, \text{square feet} \)

### Conclusion
Since \( 43.208 \, \text{square feet} > 35.36 \, \text{square feet} \), Option A has a larger area.

**Final Answer: Option A**