Sure, let's break down the problem and solve it step-by-step.
1. Understand the conversion factors:
- 1 acre = 43,560 square feet
- 1 square yard = 9 square feet (since a yard is composed of 3 feet on each side, and 3 * 3 = 9)
2. Convert the given land area from square yards to square feet:
- We know the piece of land is 220 square yards.
- To convert square yards to square feet, we use the conversion factor of 9 square feet per square yard. Therefore:
[tex]\[
220 \, \text{sq yards} \times 9 \, \text{sq ft/sq yard} = 1980 \, \text{sq ft}
\][/tex]
3. Convert the land area from square feet to acres:
- Now, we have the piece of land in square feet: 1980 square feet.
- To find out how many acres this is, we divide the total square feet by the number of square feet in an acre (43,560 sq ft):
[tex]\[
\frac{1980 \, \text{sq ft}}{43560 \, \text{sq ft/acre}} \approx 0.045454545 \, \text{acres}
\][/tex]
Therefore, the piece of land that is 220 square yards contains approximately 0.0455 acres.
