Final answer:
The area of the square foundation for the garage is 11.56 * 10^2 yards².
Step-by-step explanation:
The area of a square is found by multiplying the length of one of its sides by itself. In this case, the length of the square foundation for the garage is given as 3.4 * 10^2 yards. To find the area, we square this length by multiplying it by itself:
Area = (3.4 * 10^2 yards) * (3.4 * 10^2 yards)
Using rules of exponents, we can simplify this expression:
Area = 3.4^2 * 10^2 yards * yards = 11.56 * 10^2 yards²
Therefore, the area of the square foundation for the garage is 11.56 * 10^2 yards².