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?

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Answer 1 · 2016-11-10T02:05:39

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

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!