Question

In Somerville, the courthouse and city hall are 14 kilometers apart. What is the distance between Somerville's courthouse and its city hall on a map with a scale of 1 centimeter = 2 kilometers?

Answer 1

The distance between Somerville's courthouse and its city hall on the map = 7 centimeters

Explanation:

Given:

In Somerville, the distance between the courthouse and city hall is = 14 km

To find the distance between the courthouse and city hall on the map with scale of 1 centimeter = 2 kilometer

Solution:

The map scale of 1 centimeter = 2 kilometer means that 1 centimeter distance on the map corresponds to 2 kilometers in actual.

Actual distance between Somerville's courthouse and city hall is = 14 km

We will use unitary method to find map distance between Somerville's courthouse and city hall.

If 2 kilometer in actual corresponds to 1 centimeter on map.

Then, 1 kilometer in actual will correspond to =
`(1)/(2)` = 0.5 centimeters on map.

∴ 14 kilometer in actual will correspond to =
`(1)/(2)* 14` = 7 centimeters on map.

Thus, map distance between Somerville's courthouse and city hall = 7 centimeters