A rectangular park has an area of 1.36 c 10^8 ft . The length of the park is 1.6 x 10^4 ft divided the area by the length to find the width of the park

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

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

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

You have the area of the park as \(1.36 \times 10^8\) square feet and the length as \(1.6 \times 10^4\) feet. To find the width, you rearrange the formula:

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

Now, substituting the given values:

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

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

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

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

Combining these results gives:

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

To express this in standard scientific notation:

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

Therefore, the width of the park is \(8.5 \times 10^3\) feet or 8500 feet.