Final answer:
The area of the square with sides measuring 2 2/3 m is 64/9 m².
Step-by-step explanation:
To find the area of a square, you need to use the formula: Area = side length * side length. In this case, the side length of the square is 2 2/3 m. To calculate the area, convert the mixed fraction to an improper fraction: 2 2/3 = (2 * 3 + 2) / 3 = 8/3.
Now, substitute the side length into the formula: Area = (8/3) * (8/3) = 64/9 m². Simplify the fraction to its lowest terms if needed.
Therefore, the area of the square with sides measuring 2 2/3 m is 64/9 m².