Question

On a map, Maya uses a ruler to find the approximate distance between her town and Los Angeles. The distance on the map is 25 cm. Maya knows the distance between her town and Los Angeles is about 2050 km. What is the scale of the map?

Answer 1

Scale of the Map = 1 cm to 82 Km

Explanation:

25cm is equivalent to 2050Km

Hence 1cm will be equivalent to 2050/25 = 82Km

Answer 2

1 cm : 82km

Explanation:

Now

1km = 1000 X 100 cm

Therefore

2050km = 2050 X 1000 X 100cm

2050km = 205,000,000 cm

25cm rep 205,000,000 cm

1cm rep 205,000,000/25 cm

1cm rep 8,200,000cm

8,200,000= 8,200,000÷(100,000)km

=82km

Therefore: 1cm represents 82km

An alternate approach is to divide directly

25cm rep 2050 km

1cm represents 2050/25km

1cm: 82km

The scale is 1 cm : 82km