Map Area definiton

Question 1

What is the area of the square?

Answer 1

Area = 1 cm * 1 cm

= 1² cm²

Question 2

If the scale is 1 : r

What is the actual area?

Answer 2

Area = r cm * r cm

= r² cm²

Question 3

If the scale is 1 : r

What is the area scale?

Answer 3

Map Scale : Area Scale

1 : r = 1² : r²

Question 4

If the scale is 1 : 200 000

1 cm : ? cm

Answer 4

Map scale = 1 : 200 000

= 1 cm : 200 000 cm

Question 5

If the scale is 1 : 200 000

1 cm : ? km

Answer 5

1 cm : 200 000 cm

1 cm : 200 000 / 100 000 km

1 cm : 2 km

Question 6

If the scale is 1 : 200 000

1 cm² : ? km²

Answer 6

1 cm : 2 km

1² cm² : 2² km²

1 cm² : 4 km²

Question 7

If the scale is 1 : 200 000

What is the actual area of 17.6 cm² in km²?

Answer 7

1 cm² : 4 km²

17. 6 cm² : 4 * 17.6 km²
18. 6 cm² : 70.4 km²

Question 8

What are the steps to find the actual area?

Answer 8

Step 1 : Find the map area

Step 2 : Convert the scale to include the units

If needed to find actual in km², convert to km

Step 3 : Find the Area scale

Step 4 : Use the area scale to find the actual area