Question

a certain city covers an area of 45.7 mi2. how many square kilometers is this? use the conversion factor 1 mile = 1.61 km. round to one decimal place

Answer 1

To convert 45.7 mi2 to km2, multiply by the square of the conversion factor (1.61) to get approximately 118.5 km2.

Step-by-step explanation:

The city covers an area of 45.7 square miles (mi2), and to convert this area to square kilometers (km2), we use the conversion factor 1 mile = 1.61 kilometers. Since area units are squared in both systems (mi2 and km2), we need to square the conversion factor when converting.

Step-by-step conversion:

1. Multiply the given area in square miles by the square of the conversion factor (1.612).
2. 45.7 mi2 × (1.61 km)2 = 45.7 × 2.5921 km2.
3. Therefore, 45.7 mi2 is approximately 118.5 km2 when rounded to one decimal place.