Question

A sheepherder has a ranch that includes about 3 km2 of land. Use the fact that 1 km is approximately equal to 0.6214 miles to convert this measurement to square miles (mi2).

Round your answer to the nearest tenth.

Answer 1

To convert 3 km2 of land to square miles, you square the conversion factor 0.6214 to get 0.38612296, then multiply by the area to get 1.15836888 mi2, which rounds to approximately 1.2 square miles.

Step-by-step explanation:

To convert approximately 3 km2 of land to square miles (mi2), you can use the given factor that 1 kilometer is approximately equal to 0.6214 miles. Since we are dealing with square units, we need to square the conversion factor.

• First, square the conversion factor: (0.6214 miles)2 = 0.38612296 mi2.
• Then, multiply the area in km2 by the squared conversion factor: 3 km2 × 0.38612296 mi2/km2 = 1.15836888 mi2.
• Finally, round the result to the nearest tenth: 1.2 mi2.

The ranch is approximately 1.2 square miles.