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