To find the number of square feet in the pavilion, we can use the number of bricks and the number of bricks per square foot to set up the calculation.
Given:
- Total number of bricks = \( 2.967 \times 10^5 \)
- Bricks per square foot = \( 6.9 \)
We need to calculate the area in square feet using the formula: \[ \text{Area (in square feet)} = \frac{\text{Total number of bricks}}{\text{Bricks per square foot}} \]
Substituting the values: \[ \text{Area} = \frac{2.967 \times 10^5}{6.9} \]
Now, performing the division: \[ \text{Area} \approx \frac{2.967}{6.9} \times 10^5 \]
Calculating \( \frac{2.967}{6.9} \): \[ \frac{2.967}{6.9} \approx 0.430 \]
So, \[ \text{Area} \approx 0.430 \times 10^5 \]
To express this in proper scientific notation, we can convert \( 0.430 \) into \( 4.30 \) by moving the decimal point one place to the right. This will change the exponent from \( 5 \) to \( 4 \): \[ 0.430 \times 10^5 = 4.30 \times 10^4 \]
Thus, the area of the pavilion is approximately: \[ \boxed{4.30 \times 10^4} \text{ square feet} \]