Question

Ana drew a map of the Panama Canal. In the scale Ana used for the map, 4 centimeters represents 20 kilometers. The actual length of the Panama Canal is 82 kilometers. What is the length in centimeters of the Panama Canal on Ana’s map? Be sure to use the correct place value

Answer 1

Length of the canal on the map is 16.4 centimeters.

Explanation:

If actual length of Panama Canal = 20 kilometers

and length of the canal on map = 4 centimeters

Then scale factor =
`\frac{\text{Length of canal on map}}{\text{Actual length of canal}}`

=
`(4)/(20)`

=
`(1)/(5)`

If the actual length of Panama Canal = 82 kilometers

Then the length of canal on the map = Actual length × Scale factor

=
`82* (1)/(5)`

= 16.4 centimeters

Therefore, length of the canal on the map is 16.4 centimeters.