a. How many square feet are there in a square piece of land that is 0.7 miles on each side?
There are square feet in this piece of land.
b. How many acres are there in a square piece of land that is 0.7 miles on each side?
There are acres in this piece of land.
c. Lincoln Nebraska has a land area of 75 square miles. How many acres is this?
a. How many
There are acres in Lincoln Nebraska.
The Correct Answer and Explanation is :
Here are the answers to the questions:
a. The area of a square piece of land that is 0.7 miles on each side is approximately 13,660,416 square feet.
b. The area of a square piece of land that is 0.7 miles on each side is about 313.6 acres.
c. Lincoln, Nebraska, with a land area of 75 square miles, has approximately 48,000 acres.
Explanation:
- Square Feet Conversion (a):
To find the number of square feet in a square piece of land that measures 0.7 miles on each side, we first convert the miles to feet. Since 1 mile = 5280 feet, we multiply 0.7 miles by 5280 feet to get the length of one side in feet (0.7 * 5280 = 3696 feet). Then, to find the area of the square, we square this value: 3696 feet * 3696 feet = 13,660,416 square feet. - Acres Conversion (b):
One square mile is equivalent to 640 acres. Thus, to convert the area of 0.7 square miles into acres, we multiply 0.7 by 640 acres, giving us an area of 313.6 acres. - Acres in Lincoln, Nebraska (c):
Lincoln has an area of 75 square miles. To convert this into acres, we multiply 75 square miles by 640 acres per square mile, resulting in 48,000 acres.
I will now generate a visual to help illustrate the concept.
Here is an illustration showing the square piece of land with dimensions of 0.7 miles on each side, along with the conversions to square feet and acres. It also compares the area to that of Lincoln, Nebraska. Let me know if you’d like further explanations or modifications!
