To find the area of a rectangle, we multiply its length by its width.
The length of the rectangle is 2 and 5/9 meters, and the width is 3 meters.
To multiply mixed numbers, we need to convert them to improper fractions.
The length can be written as (2 * 9 + 5) / 9 = 23/9 meters.
Now we can calculate the area:
Area = Length * Width
= (23/9) * 3
= (23/9) * (3/1)
= (23 * 3) / (9 * 1)
= 69/9
= 7 and 2/9
Therefore, the area of the rectangle is 7 and 2/9 square meters.