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)

Question

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:

$$\text{Area}=2.967\times {10}^5÷6.9\approx 4.3\times {10}^4$$

Thus, the area of the pavilion is approximately $4.3\times {10}^4$ square feet.

So, the correct answer is:

4.3 × 10⁴