Use the chart to answer the following question.
| English Area | Conversion Number | Metric Area |
|---|---|---|
| Square Miles | 2.59 | Square Kilometers |
| Square Miles | 259 | Hectares |
| Acres | $4.05 \times 10^{-3}$ | Square Kilometers |
| Acres | $4.05 \times 10^{-1}$ | Hectares |
| Square Yards | $8.36 \times 10^{-1}$ | Square Meters |
| Square Feet | $9.29 \times 10^{-2}$ | Square Meters |
| Square Inches | 6.45 | Square Centimeters |
Convert 22.6 square centimeters to square inches (to the nearest hundredth).
A. 35
B. 3.5
C. 0.35
D. 3500
Answer (1)
Use the conversion factor: 1 square inch = 6.45 square centimeters.
Divide the given square centimeters by the conversion factor: 6.45 22.6 .
Calculate the result: 3.503875968992248 .
Round to the nearest hundredth: 3.50 .
Explanation
Understanding the Problem We are given that we need to convert 22.6 square centimeters to square inches using the provided conversion table. The table indicates that 1 square inch is equal to 6.45 square centimeters.
Setting up the Conversion To convert square centimeters to square inches, we need to divide the number of square centimeters by the conversion factor (6.45).
Applying the Conversion Formula So, we have: Square inches = 6.45 Square centimeters Substituting the given value: Square inches = 6.45 22.6
Calculating the Result Calculating the result: Square inches = 3.503875968992248 Rounding to the nearest hundredth: Square inches ≈ 3.50
Final Answer Therefore, 22.6 square centimeters is approximately equal to 3.50 square inches.
Examples
Imagine you're redecorating your room and want to replace a square mirror. You know the mirror's area in square centimeters, but the store sells mirrors measured in square inches. By converting the area from square centimeters to square inches, you can easily find a mirror that fits your needs. This conversion is also useful in various fields like construction, design, and real estate, where different units of area measurement are commonly used.
