A rectangular park has an area of 1.36 x 108 ft. The length of the park is 1.6 x 10* ft. Divide the area by the length to find the width of the park.

(1 point)
08.5 × 105 f.
0 8.5 × 101 ft.
• 8.5 × 102ft.
0 8.5 × 103 t.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
28 days ago

To find the width of the rectangular park, you can use the formula:

\[
\text{Width} = \frac{\text{Area}}{\text{Length}}
\]

Given:

- Area = \(1.36 \times 10^8\) ft²
- Length = \(1.6 \times 10^5\) ft

Now, plug in the values:

\[
\text{Width} = \frac{1.36 \times 10^8}{1.6 \times 10^5}
\]

To simplify the division, we can separate the coefficients and the powers of 10:

\[
\text{Width} = \frac{1.36}{1.6} \times \frac{10^8}{10^5}
\]

Now perform the calculations:

1. Divide the coefficients:
\[
\frac{1.36}{1.6} = 0.85
\]

2. Subtract the exponents:
\[
\frac{10^8}{10^5} = 10^{8-5} = 10^3
\]

Combining these results gives us:

\[
\text{Width} = 0.85 \times 10^3
\]

To express \(0.85\) in scientific notation, it can be written as:

\[
8.5 \times 10^{-1}
\]

So now we combine these:

\[
\text{Width} = 8.5 \times 10^{-1} \times 10^3 = 8.5 \times 10^{3 - 1} = 8.5 \times 10^2 \text{ ft}
\]

Thus, the width of the park is:

**\(8.5 \times 10^2\) ft.**