Question

A large pavilion is made of 2.967 × 105 bricks. There are 6.9 bricks per square foot. How many square feet is the pavilion? Write the answer in scientific notation. (1 point)
0 2.33 × 105
• 0.43 × 104
0 4.3 × 104
04.3 × 105

Answer 1

To find the number of square feet the pavilion occupies, we can use the given information about the total number of bricks and the number of bricks per square foot.

Given:
- Total number of bricks = \( 2.967 \times 10^5 \)
- Bricks per square foot = 6.9

We can find the area in square feet by dividing the total number of bricks by the number of bricks per square foot:

\[
\text{Area (square feet)} = \frac{\text{Total number of bricks}}{\text{Bricks per square foot}} = \frac{2.967 \times 10^5}{6.9}
\]

Calculating this gives:

\[
\text{Area} = 2.967 \times 10^5 \div 6.9 \approx 4.3 \times 10^4
\]

Thus, the area of the pavilion is approximately \( 4.3 \times 10^4 \) square feet.

So, the correct answer is:

**4.3 × 10⁴**