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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

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)
Verificación de expertos
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: #