Use the table, along with dimensional analysis, to convert the given square unit to the square unit indicated. 16 m² to yd² yd² (Round to the nearest hundredth as needed.) 1 in² 1 ft² 1 yd² 1 mi2 1 acre = 6.5 cm² = 0.09 m² = 0.8 m² = 2.6 km² = 0.4 hectare (ha)
Use the table, along with dimensional analysis, to convert the given square unit to the square unit indicated. 16 m² to yd² yd² (Round to the nearest hundredth as needed.) 1 in² 1 ft² 1 yd² 1 mi2 1 acre = 6.5 cm² = 0.09 m² = 0.8 m² = 2.6 km² = 0.4 hectare (ha)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![**Conversion of Square Meters to Square Yards using Dimensional Analysis**
To convert the given square unit to the indicated square unit, we utilize the table below:
| Unit Conversion Table |
|-------------------------------|
| 1 in² = 6.5 cm² |
| 1 ft² = 0.09 m² |
| 1 yd² = 0.8 m² |
| 1 mi² = 2.6 km² |
| 1 acre = 0.4 hectare (ha) |
**Task:**
Convert \(16 \, \text{m}^2\) to \(\text{yd}^2\).
**Solution:**
Use dimensional analysis to find the equivalent area in square yards.
1. Start with \(16 \, \text{m}^2\).
2. Use the conversion factor from the table: \(1 \, \text{yd}^2 = 0.8 \, \text{m}^2\).
\[
\frac{16 \, \text{m}^2}{0.8 \, \text{m}^2/\text{yd}^2} = \text{Solution in } \text{yd}^2
\]
**Round to the nearest hundredth as needed.**
**Conclusion:**
The answer should be filled in the space provided as \(\boxed{\phantom{0}}\).
Note: Be sure to perform the calculation and enter the result in the box.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9d23aa5-ac37-4015-8b63-d963ab01f4b6%2F7dc173e4-3a7c-4d49-86e3-d344b9dfb8a0%2Fjb8q2aa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Conversion of Square Meters to Square Yards using Dimensional Analysis**
To convert the given square unit to the indicated square unit, we utilize the table below:
| Unit Conversion Table |
|-------------------------------|
| 1 in² = 6.5 cm² |
| 1 ft² = 0.09 m² |
| 1 yd² = 0.8 m² |
| 1 mi² = 2.6 km² |
| 1 acre = 0.4 hectare (ha) |
**Task:**
Convert \(16 \, \text{m}^2\) to \(\text{yd}^2\).
**Solution:**
Use dimensional analysis to find the equivalent area in square yards.
1. Start with \(16 \, \text{m}^2\).
2. Use the conversion factor from the table: \(1 \, \text{yd}^2 = 0.8 \, \text{m}^2\).
\[
\frac{16 \, \text{m}^2}{0.8 \, \text{m}^2/\text{yd}^2} = \text{Solution in } \text{yd}^2
\]
**Round to the nearest hundredth as needed.**
**Conclusion:**
The answer should be filled in the space provided as \(\boxed{\phantom{0}}\).
Note: Be sure to perform the calculation and enter the result in the box.
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