To determine how much area the oil spill will cover in 2 hours, we first need to find the rate of coverage.
Given that the oil spill covers 4 square kilometers in \( \frac{1}{4} \) of an hour, we can calculate the coverage rate per hour:
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Determine the coverage per hour: \[ \text{Coverage per hour} = \frac{4 \text{ square kilometers}}{\frac{1}{4} \text{ hour}} = 4 \text{ square kilometers} \times 4 = 16 \text{ square kilometers per hour} \]
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Now, calculate how much area will be covered in 2 hours: \[ \text{Area in 2 hours} = 16 \text{ square kilometers/hour} \times 2 \text{ hours} = 32 \text{ square kilometers} \]
Therefore, the oil spill will cover 32 square kilometers in 2 hours.