Question
A hiking trail is shown as 14 cm on a map. The scale is 1:150000 How far in km is it in real life? square km
Answer
3.9
(182 Votes)
Kari
Professional · Tutor for 6 years
Answer
### The real-life distance is 21 kilometers.
Explanation
## Step 1: Understand the scale### The scale of the map is given as
, which means that 1 cm on the map corresponds to 150,000 cm in real life.## Step 2: Convert the map distance to real-life distance### To find the real-life distance, multiply the distance on the map by the scale. The formula is:
Substitute the given values:
## Step 3: Convert the distance to kilometers### Since 1 kilometer equals 100,000 centimeters, we need to convert the result from centimeters to kilometers:
Substitute the value from the previous step:
## Step 4: Simplify the expression### Simplify the fraction to find the real-life distance in kilometers:
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