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
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**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.
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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