How many acres are in a 1 mile by 1 mile?
The Correct Answer and Explanation is :
The correct answer is: 640 acres
To determine how many acres are in a square mile (1 mile by 1 mile), we start by understanding the relationship between square miles and acres.
1 square mile is defined as an area that measures 1 mile in length and 1 mile in width. To convert this area into acres, we can use the following conversion factors:
- 1 mile = 5,280 feet
- 1 acre = 43,560 square feet
Calculating the Area in Square Feet
First, we calculate the area of 1 square mile in square feet:
[
\text{Area in square feet} = \text{Length} \times \text{Width} = (5,280 \, \text{feet}) \times (5,280 \, \text{feet}) = 27,878,400 \, \text{square feet}
]
Converting Square Feet to Acres
Now, we convert the area from square feet to acres by dividing the total square feet by the number of square feet in one acre:
[
\text{Area in acres} = \frac{\text{Area in square feet}}{\text{Square feet per acre}} = \frac{27,878,400 \, \text{square feet}}{43,560 \, \text{square feet per acre}} \approx 640 \, \text{acres}
]
Conclusion
Thus, a square mile, which measures 1 mile by 1 mile, is equivalent to 640 acres. This conversion is essential in various fields, including real estate, agriculture, and land management, where land is often measured in acres. Understanding this conversion helps in planning land use, assessing property values, and managing agricultural resources effectively. The acre is a more practical measure for smaller plots of land, while square miles are used for larger areas, making it important to understand how these units relate to one another.
In summary, the answer to how many acres are in a 1 mile by 1 mile area is 640 acres.