Question

Every decimeter on a map represents 11.5 kilometers of actual distance. On this map,

specific points M and N are exactly 235 decimeters apart. Therefore, points M and N are
actually how many kilometers apart? Write your answer as a mixed fraction.

Answer 1

Given:

Scale factor of map is:

1 decimeter = 11.5 kilometers

The distance between M and N on the map is 235 decimeters.

To find:

The Actual distance between M and N.

Solution:

Scale factor of map is:

1 decimeter = 11.5 kilometers

Using this scale factor, we get

235 decimeter = 235 × 11.5 kilometers

235 decimeter = 2702.5 kilometers

235 decimeter =
`2702(1)/(2)` kilometers

Therefore, the points M and N are
`2702(1)/(2)` kilometers apart.