Question

A sheepherder has a ranch that includes about 1.8 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

Answer:

0.7 square miles

Step-by-step explanation:

Square Kilometers and Square Miles are 2-D quantities.

When we normally convert one unit to another (such as km to mi), we have to multiply/divide ONCE. But when we are doing it with square quantities, we have to multiply/divide TWICE.

First, we need the conversion ratio (unit ratio). This is given as:

1 km = 0.6214 miles

Since we want to convert kilometers squared to miles squared, we have to multiply 1.8 (given) by 0.6214 TWICE. This is shown below (note that km^2 is canceled with mi*mi or mi^2):

$1.8Km^2*\frac{0.6214Mi}{1Km}*\frac{0.6214Mi}{1Km}\\=1.8*0.6214*0.6214Mi^2\\=0.695Mi^2$

So the answer is 0.695 square miles

Rounding to nearest tenth (1 digit after decimal), we get:

0.7 square miles