Question

Given that 50mm on a map represents 4km on the groun.
A.Calculate the distance in km between two villages which are represented on the map by points 75mm apart.

B.Express the scale of the map in the form 1:n

C.Calculate in mm squared the area of the map which represents a region of 48squared on the ground

Answer 1

50 mm ----> 4 km
1 mm ------> 4/50 km
75 mm ----> (75)(4/50) km or 6 km

ratio = 50 mm : 4 km
= 50 mm : 4000000 mm
= 1 : 80,000

c) "48squared" km?

from your given:
(4 km)^2 ---> (50 mm)^
16 km^2 = 2500 mm^2
1 km^2 = 2500/16 mm^2
48 km^2 = (48)(2500/16) mm^2 or 7500 mm^2