Question

A rectangular park has an area of 1.36×10 to the power of 8 feet when the small too on the top, the length of the park is 1.6×10 power of 4 feet. Divide the area by the length to find the width of the park would the answer be 8.5×10 power five or 8.5×10 power of 28.5×10 power three or last 8.5×10 power of four.

Answer 1

To find the width of the park, you can use the formula for the area of a rectangle, which is:

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

You can rearrange this to find the width:

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

Given:
- Area = \(1.36 \times 10^8\) square feet
- Length = \(1.6 \times 10^4\) feet

Now, substitute these values into the width formula:

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

To perform the division, you can divide the coefficients and subtract the exponents from the powers of 10:

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

2. Subtract the exponents of the powers of 10:
\[
10^{8 - 4} = 10^4
\]

Thus,

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

To express \(0.85\) in scientific notation, it becomes \(8.5 \times 10^{-1}\):

\[
\text{Width} = 8.5 \times 10^{-1} \times 10^4 = 8.5 \times 10^{3}
\]

So the width of the park is

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

Among the options given, the correct answer is:

**8.5 × 10^3**.