Question

How do you find the distance between Riverside and Milton if they are 12 cm apart on a map with a scale of 4 cm :21 km?

Answer 1

`21" km." xx (100,000" cm.")/(1" km.") = 2,100,000" cm."`

So, the scale of the map is 4 cm: 2,100,000 km.

Now that we're in equivalent units, we can set up a proportion.

`12/x = 4/(2,100,000)`

`x = (2,100,000 xx 12)/4`

`x= 6,300,000" cm."`

Let's finally convert back to kilometres.

`6,300,000" cm." xx (1" km.")/(100,000" cm.") = 63" km."`

Hence, the actual distance between Riverside and Milton is `63` kilometres.

Hopefully this helps!