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