Questions: A certain city covers an area of 42.8 mi^2. How many square kilometers is this? Use the conversion factor 1 mile = 1.61 km.

Solution Steps

To convert the area from square miles to square kilometers, we need to use the given conversion factor. First, convert miles to kilometers, then square the result to convert square miles to square kilometers.

The area of the city is given as \( 42.8 \, \text{mi}^2 \).

The conversion factor from miles to kilometers is \( 1 \, \text{mile} = 1.61 \, \text{km} \).

To convert the area from square miles to square kilometers, we first convert miles to kilometers and then square the result: \[ \text{Area in km}^2 = (42.8 \, \text{mi}^2) \times (1.61 \, \text{km/mi})^2 \]

\[ \text{Area in km}^2 = 42.8 \times (1.61)^2 \] \[ \text{Area in km}^2 = 42.8 \times 2.5921 \] \[ \text{Area in km}^2 \approx 110.9419 \]

Final Answer