Area Conversion Number Table
| 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: 16 square kilometers to acres
A. 39.506
B. 3,950.6
C. 39,506
D. 395.06
Answer (2)
Identify the conversion factor: 1 acre = 4.05 × 1 0 − 3 square kilometers.
Divide the number of square kilometers by the conversion factor: 4.05 × 1 0 − 3 16 .
Calculate the result: 0.00405 16 = 3950.61728395 .
Round to one decimal place and state the final answer: 3950.6 .
Explanation
Understanding the Problem We are given a table that provides conversion factors between different units of area. The problem asks us to convert 16 square kilometers to acres using the information provided in the table.
Identifying the Conversion Factor The table shows that 1 acre is equal to 4.05 × 1 0 − 3 square kilometers. This means that to convert square kilometers to acres, we need to divide the number of square kilometers by 4.05 × 1 0 − 3 .
Setting up the Calculation To convert 16 square kilometers to acres, we perform the following calculation: 4.05 × 1 0 − 3 16
Performing the Calculation Calculating the value: 4.05 × 1 0 − 3 16 = 0.00405 16 = 3950.61728395 Rounding to one decimal place, we get 3950.6 acres.
Stating the Final Answer Therefore, 16 square kilometers is equal to approximately 3950.6 acres.
Examples
Area conversion is a practical skill used in various fields, such as real estate, agriculture, and urban planning. For example, a farmer might need to convert the size of their land from square kilometers to acres to determine crop yield or land value. Similarly, a real estate developer might need to convert land areas to assess the feasibility of a construction project. Understanding area conversions helps in making informed decisions and communicating land sizes effectively.
16 square kilometers is approximately equal to 3950.6 acres when converted using the provided conversion factor. Therefore, the correct choice from the options given is B: 3,950.6.
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