a map is drawn to a scale 1: 2 500 000. what is distance in kilometres between town A and town B 16.3cm apart? I get confused when trying to find metres and kilometres.
Let $\displaystyle d_m$ denote the distance on the map and $\displaystyle D_{AB}$ the actual distance between the places A and B.
Then you know:
$\displaystyle \dfrac{d_m}{D_{AB}}= \dfrac{1}{2,500,000}$
You'll get:
$\displaystyle D_{AB} = d_m \cdot 2,500,000$ Sub in the value of $\displaystyle d_m$ and you'll get
$\displaystyle D_{AB}= 40,750,000\ cm$
1. Divide by 100 to get meters
2. Divide by 1000 to get km
3. $\displaystyle D_{AB}=407.5\ km$