To find the area of the pavilion in square feet, we need to divide the total number of bricks by the number of bricks per square foot.
Given:
- Total bricks = \(2.967 \times 10^5\)
- Bricks per square foot = \(6.9\)
The formula to find the area in square feet (A) is: \[ A = \frac{\text{Total bricks}}{\text{Bricks per square foot}} = \frac{2.967 \times 10^5}{6.9} \]
Now we perform the division:
- Divide \(2.967\) by \(6.9\): \[ 2.967 \div 6.9 \approx 0.4304 \]
- Now we can express this result in scientific notation: \[ 0.4304 \approx 4.304 \times 10^{-1} \]
- Since we are dividing by \(10^0\): \[ 0.4304 \times 10^5 = 4.304 \times 10^4 \]
Now putting this in standard scientific notation:
- We round \(4.304\) to \(4.3\).
Thus, the area of the pavilion in square feet, expressed in scientific notation, is: \[ \boxed{4.3 \times 10^4} \]