To find the number of square feet of 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 = \(6.9\)
Now we can calculate the area:
\[ \text{Area} = \frac{2.967 \times 10^5}{6.9} \]
First, calculate \( \frac{2.967}{6.9} \):
\[ \frac{2.967}{6.9} \approx 0.430 \]
Now, we can express this in scientific notation:
\[ 0.430 = 4.30 \times 10^{-1} \]
Now, multiply by \(10^5\):
\[ \text{Area} = 4.30 \times 10^{-1} \times 10^5 = 4.30 \times 10^{4} \]
Therefore, the area of the pavilion in scientific notation is:
\[ \boxed{4.30 \times 10^4} \text{ square feet} \]
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