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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

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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

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

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KariProfessional · Tutor for 6 years

Answer

### The real-life distance is 21 kilometers.

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## Step 1: Understand the scale<br />### The scale of the map is given as \(1:150000\), which means that 1 cm on the map corresponds to 150,000 cm in real life.<br /><br />## Step 2: Convert the map distance to real-life distance<br />### To find the real-life distance, multiply the distance on the map by the scale. The formula is:<br />\[\text{Real-life distance} = \text{Map distance} \times \text{Scale}\]<br />Substitute the given values:<br />\[\text{Real-life distance} = 14 \, \text{cm} \times 150000\]<br /><br />## Step 3: Convert the distance to kilometers<br />### Since 1 kilometer equals 100,000 centimeters, we need to convert the result from centimeters to kilometers:<br />\[\text{Real-life distance in km} = \frac{\text{Real-life distance in cm}}{100000}\]<br />Substitute the value from the previous step:<br />\[\text{Real-life distance in km} = \frac{14 \times 150000}{100000}\]<br /><br />## Step 4: Simplify the expression<br />### Simplify the fraction to find the real-life distance in kilometers:<br />\[\text{Real-life distance in km} = \frac{2100000}{100000} = 21 \, \text{km}\]<br /><br />#
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