Question

A map of utah has scale 1cm :30 mi the southern border is about 285 mi long how long is the border on the map

Answer 1

9 1/2 inches

Explanation:

The scale of a map is the ratio of map distance to represented distance. This can be used to write a proportion.

__

map distance/represented distance = 1 in/(30 mi) = x/(285 mi)

where x represents the map length of the southern border.

Multiplying by 285 mi, we have ...

x = (285 mi)(1 in)/(30 mi) = 9.5 in

The border is 9.5 inches on the map.