To find the area of the floor covered by 9500 parallelogram-shaped tiles, we first need to calculate the area of a single tile and then multiply that by the total number of tiles.
The area \( A \) of a parallelogram is given by the formula:
\[ A = \text{base} \times \text{height} \]
Where the base is 0.28 meters and the height is 0.34 meters.
Calculating the area of one tile:
\[ A = 0.28 , \text{m} \times 0.34 , \text{m} = 0.0952 , \text{m}^2 \]
Now, we multiply the area of one tile by the total number of tiles (9500):
\[ \text{Total Area} = 9500 \times 0.0952 , \text{m}^2 = 904.4 , \text{m}^2 \]
Thus, the area of the floor is:
\[ \boxed{904.4 , \text{m}^2} \]