Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test 2025 - Free AFCT Practice Questions and Study Guide

Question: 1 / 400

If 270 square feet is equivalent to ¾ acre, how many acres do you have if you own 4,320 square feet?

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To determine how many acres are contained in 4,320 square feet when you know that 270 square feet is equivalent to ¾ acre, you can set up a conversion based on the ratio of square feet to acres.

Firstly, you can find out how many square feet are in one full acre. Since ¾ acre equals 270 square feet, you can determine the size of one acre by calculating:

1 acre = 270 square feet ÷ (3/4) = 270 square feet × (4/3) = 360 square feet.

Now, knowing that 1 acre equals 43,560 square feet (which is the standard conversion for acres), you can validate this calculation:

- 360 square feet is incorrect, as it does not align with the known conversion.

So instead, using the ratio provided, 270 square feet corresponding to ¾ acre can help find the total square feet in one acre:

1 acre = (270 square feet) / (¾) = 270 × (4/3) = 360 square feet total in equivalency measure will yield the reasoning used in the ratios suggesting more extensive area conversions.

Now, you can set up a proportion to find the number of acres in

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