To find the number of square feet in the pavilion, we can use the following formula:
\[ \text{Area (in square feet)} = \frac{\text{Total number of bricks}}{\text{Bricks per square foot}} \]
Given:
- Total number of bricks = \(2.967 \times 10^5\)
- Bricks per square foot = \(6.9\)
We can calculate the area:
\[ \text{Area} = \frac{2.967 \times 10^5}{6.9} \]
Now, let's perform the division:
\[ \frac{2.967}{6.9} \approx 0.430 \]
Now, we express this in scientific notation. The number \(0.430\) can be written as \(4.30 \times 10^{-1}\).
Now we need to multiply this by \(10^5\):
\[ \text{Area} \approx 4.30 \times 10^{-1} \times 10^5 = 4.30 \times 10^{4} \]
Thus, the area of the pavilion in square feet is approximately:
\[ \boxed{4.3 \times 10^{4}} \]