Answer:
The distance between Somerville's courthouse and its city hall on the map = 7 centimeters
Step-by-step 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 =[tex]\frac{1}{2}[/tex] = 0.5 centimeters on map.
∴ 14 kilometer in actual will correspond to =[tex]\frac{1}{2}\times 14[/tex] = 7 centimeters on map.
Thus, map distance between Somerville's courthouse and city hall = 7 centimeters
