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According to the USDA, a small family farm has an average area of 231 acres.

a. What is this area in square miles? Use the fact that 1 square mile is 640 acres.

b. What is this area in square feet? Recall: 1 mile = 5,280 ft.

Answer :

Answer:

Therefore, the area of a small family farm in square feet is 9,923,640.

Step-by-step explanation:

a. To convert acres to square miles, we divide the number of acres by 640:

231 acres / 640 acres/square mile = 0.36 square miles

Therefore, the area of a small family farm in square miles is 0.36.

b. To convert acres to square feet, we first need to convert acres to square yards (since there are 9 square feet in a square yard):

231 acres x 4840 square yards/acre x 9 square feet/square yard = 9,923,640 square feet

Therefore, the area of a small family farm in square feet is 9,923,640.

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Rewritten by : Barada

231 acres is equivalent to a. 0.361 square miles and b. 10,069,694.4 square feet. The conversions are based on the fact that 1 square mile equals 640 acres and 1 square mile equals 27,878,400 square feet.

To find the area of a small family farm in different units, we can follow these steps:

a. Convert acres to square miles:

We know that 1 square mile equals 640 acres. Therefore, to convert 231 acres to square miles, we use the following calculation:

231 acres ÷ 640 acres/square mile = 0.361 square miles

b. Convert acres to square feet:

We know that 1 mile equals 5,280 feet. First, we'll convert the area from square miles to square feet. We begin by understanding that:

1 square mile = (5,280 feet)² = 27,878,400 square feet

Thus, to find the number of square feet in 231 acres:

0.361 square miles × 27,878,400 square feet/square mile = 10,069,694.4 square feet

Therefore, 231 acres is equivalent to 0.361 square miles or 10,069,694.4 square feet.