The first scale is 1 -> 100,000, indicating that each centimeter on the map corresponds to 100,000 in the actual environment. Therefore, for a measurement of 12 cm, the real distance works out to be (12 cm)(100,000) 12 cm -> 1 200 000 cm, where 1 m equals 100 cm Distance: 1 200 000 cm / 100 cm/m = 1 200 m Distance: 1 200 m / 1000 m/km = 1,2 km
For the second scale of 1 -> 300,000, each centimeter represents 300,000 in the real world. Thus, with 12 cm, the actual distance is calculated as (12 cm)(300,000) 12 cm -> 3 600 000 cm, where each meter is 100 cm and each kilometer consists of 1000 m Distance: 3 600 000 cm / 100 cm/m = 3 600 m Distance: 3 600 m / 1000 m/km = 3,6 km
The value of 300,000 is three times that of 100,000
This means the real distance is three times greater, with 1.2 in the first case and 3.6 in the second
Your response is 3.6 km, which equals 3 600 m or 3 600 000 cm
In part one, the scale states that 1 on the map correlates to 100,000 in reality. Therefore, a distance of 12 cm on the map translates to (12 cm)(100,000) in real terms, giving us 12 cm equating to 1,200,000 cm. Since each meter equals 100 cm, thus the real distance is calculated as 1,200,000 cm divided by 100 cm/m, resulting in 1,200 m. Further, this equals 1.2 km when converted to kilometers. In the second part, the scale shows 1 on the map corresponding to 300,000 in the real world. So, 12 cm on this map translates to (12 cm)(300,000), resulting in 12 cm equating to 3,600,000 cm. As before, dividing this by 100 cm/m gives 3,600 m, and converting this to kilometers results in 3.6 km. Notably, 300,000 is three times 100,000, suggesting that the real distance here is also tripled in comparison, with the first scenario being 1.2 km and the second being 3.6 km, giving the final answer as 3.6 km, 3,600 m, or 3,600,000 cm.
