On a map, 1 centimeter represents 7½cm kilometers. What length On the map would represent a distance of 45 kilometers?

1 answer

To find the length on the map that represents a distance of 45 kilometers, we need to use the given scale of 1 centimeter representing 7½ kilometers.

First, we need to determine how many centimeters equal 1 kilometer:

1 centimeter represents 7½ kilometers

Therefore, 1 kilometer represents 1/(7½) = 2/15 centimeters.

Next, we can calculate the length on the map that represents 45 kilometers:

45 kilometers represents (45 * 2/15) = 6 centimeters.

Therefore, a length of 6 centimeters on the map would represent a distance of 45 kilometers.