Question

Question

A rectangular park has an area of 1.36×10^8 ft^2
1.36
×
10
8
ft
2
. The length of the park is 1.6×10^4
1.6
×
10
4
ft. Divide the area by the length to find the width of the park.(1 point)
Responses

8.5×10^4
8.5
×
10
4
ft.
8.5 times 10 superscript 4 baseline ft.

8.5×10^2
8.5
×
10
2
ft.
8.5 times 10 squared ft.

8.5×10^5
8.5
×
10
5
ft.
8.5 times 10 superscript 5 baseline ft.

8.5×10^3
8.5
×
10
3
ft.

Answer 1

To find the width of the park, we can use the formula:

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

Given:

• Area = \(1.36 \times 10^8 , \text{ft}^2\)
• Length = \(1.6 \times 10^4 , \text{ft}\)

Now, substituting the values into the formula:

\[ \text{Width} = \frac{1.36 \times 10^8}{1.6 \times 10^4} \]

To perform the division, we can separate the constants and the powers of ten:

\[ \text{Width} = \left(\frac{1.36}{1.6}\right) \times \left(\frac{10^8}{10^4}\right) \]

First, calculate the constants:

\[ \frac{1.36}{1.6} = 0.85 \]

Next, calculate the powers of ten:

\[ \frac{10^8}{10^4} = 10^{8-4} = 10^4 \]

Now combine the results:

\[ \text{Width} = 0.85 \times 10^4 = 8.5 \times 10^3 \]

Thus, the width of the park is:

\[ \text{Width} = 8.5 \times 10^3 , \text{ft} \]

The correct response is:

8.5×10^3 ft.