Actual area and Map area

Question 1

The scale of a map is 1 : 2000. What is the actual area given the map area is 6 cm²?

Answer 1

Area Scale is 1 cm² : 4 000 000 cm²

Actual area = 6 * 4 000 000

= 24 000 000 cm²

Question 2

The scale of a map is 1 : 20000. What is the actual area in km² given the map area is 25 cm²?

Answer 2

1 cm : 20000 cm

1 cm : 0.2 km

1 cm² : 0.04 km²

Actual distance = 25 * 0.04 km²

= 1 km²

Question 3

The scale of a map is 1 : 20000. What is the actual area in m² given the map area is 30 cm²?

Answer 3

1 cm : 20000 cm

1 cm : 200 m

1 cm : 40000 m²

Actual area = 30 * 40000 m²

= 1 200 000 m²

Question 4

The scale of a map is 1 : 20000. What is the map area in cm² given the actual area is 4 km²?

Answer 4

1 cm : 20000 cm

1 cm : 0.2 km

1 cm² : 0.04 km²

Map area= 4 / 0.04 cm²

= 100 cm²

Question 5

The scale of a map is 1 : 200 000. What is the map area in cm² given the actual area is 8 km²?

Answer 5

1 cm : 200 000 cm

1 cm : 2 km

1 cm² : 4 km²

Map distance = 8 / 4 cm²

= 2 cm²