Question

A rectangular park has an area of 3.6*10 to the power of 8 ft the length of the park is 1.6*10 to the power of 4 ft divide the area by the length to find the width of the park

Answer 1

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 can rearrange the formula to solve for the width:

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

Given:
- Area = \(3.6 \times 10^8 \, \text{ft}^2\)
- Length = \(1.6 \times 10^4 \, \text{ft}\)

Now, substitute the values into the formula:

\[
\text{Width} = \frac{3.6 \times 10^8}{1.6 \times 10^4}
\]

To divide the numbers in scientific notation, you can divide the coefficients and subtract the exponents:

1. Divide the coefficients:
\[
\frac{3.6}{1.6} = 2.25
\]

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

Now, combine the results:

\[
\text{Width} = 2.25 \times 10^4 \, \text{ft}
\]

Thus, the width of the park is \(2.25 \times 10^4 \, \text{ft}\).