To find the number of square feet in the pavilion, we need to divide the total number of bricks by the number of bricks per square foot.
First, let's represent the number of bricks per square foot in scientific notation. We were given that there are 6.9 bricks per square foot. To write this in scientific notation, we need to move the decimal point to the right so that there is one digit to the left of the decimal point. In this case, we move the decimal point one place to the right, making it 0.69 × 10^1.
Next, we divide the total number of bricks (2.967 × 10^5) by the bricks per square foot (0.69 × 10^1):
(2.967 × 10^5) / (0.69 × 10^1) = 4.31014493 × 10^4
Rounding this to three significant figures gives:
4.31 × 10^4
Therefore, the answer is 4.31 × 10^4.