By dimensional analysis and the conversion factor between feet and yards, we find that a square yard is equal to a quantity of 3² square yard, that is, a quantity of 9 square feet. (Correct choice: C)
What is the conversion factor between two quantities in area units?
In accordance to dimensional analysis, area units are equal to the square of length units, that is, length unit multiplied by length unit. That is:
[A] = [L] × [L] = [L]²
Where:
L - Length unit
A - Area unit
If a yard is equal to a quantity of three feet, both length units, then a square yard is equal to a quantity of 3² square feet, that is, a quantity of 9 square feet, both area units. Therefore, we can construct the following conversion factor:
1 square yard = (3 feet)² = 9 square feet
To learn more on dimensional analysis and conversion factors: https://brainly.com/question/4992487
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