To find the width of the park, you'll divide the area by the length.
Given:
- Area = \( 1.36 \times 10^8 \) ft²
- Length = \( 1.6 \times 10^4 \) ft
Calculation:
\[ \text{Width} = \frac{\text{Area}}{\text{Length}} = \frac{1.36 \times 10^8 , \text{ft}^2}{1.6 \times 10^4 , \text{ft}} \]
To perform the division:
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Divide the coefficients: \[ \frac{1.36}{1.6} = 0.85 \]
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Subtract the exponents: \[ 10^{8 - 4} = 10^4 \]
Now, multiplying these together: \[ \text{Width} = 0.85 \times 10^4 \]
To express \( 0.85 \) in scientific notation: \[ 0.85 = 8.5 \times 10^{-1} \] Thus, \[ \text{Width} = 8.5 \times 10^{-1} \times 10^4 = 8.5 \times 10^{3} , \text{ft} \]
The width of the park is: \[ \text{Width} = 8.5 \times 10^3 , \text{ft} \]
The correct answer is: 8.5 × 10³ ft.