To find the width of the rectangular park, you can use the formula:
\[ \text{Width} = \frac{\text{Area}}{\text{Length}} \]
Given that the area of the park is \(1.36 \times 10^8 , \text{ft}^2\) and the length is \(1.6 \times 10^4 , \text{ft}\), you can substitute these values into the formula:
\[ \text{Width} = \frac{1.36 \times 10^8}{1.6 \times 10^4} \]
Now, let's perform the division:
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Divide the coefficients: \[ \frac{1.36}{1.6} = 0.85 \]
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Subtract the exponents (since they are in scientific notation, we subtract the exponent of the length from the exponent of the area): \[ 10^{8 - 4} = 10^4 \]
So, combining these results, we get:
\[ \text{Width} = 0.85 \times 10^4 \]
To express it in proper scientific notation, \(0.85 \times 10^4\) can be converted to \(8.5 \times 10^3\) (by moving the decimal one place to the right and decreasing the exponent by 1).
Thus, the width of the park is:
\[ \text{Width} = 8.5 \times 10^3 , \text{ft} \]
or
\[ \text{Width} = 8500 , \text{ft} \]