Question

The distance between NY and Boston is 306 km. How long is it on a map (in cm) drawn at a scale of 1:1,200,000?

Answer 1

25.5 centimeters on the map.

Explanation:

Given the actual distance between New York and Boston is 306 km = 306,000 meters = 30,600,000 centimeters.

The map (in centimeters) is drawn at a scale of 1 : 1,200,000.

It means 1 cm of map is actual distance of 1,200,000 in real.

So we can multiply the scale factor with actual distance to find the length on map.

Mathematically, length on map = scale factor * actual distance.

Length on map = (1 / 1,200,000) * 30,600,000

Length on map = 30,600,000 / 1,200,000 = 306 / 12 = 25.5 cm.

Hence, It is 25.5 cm on the map.

Answer 2

Distance between NY and Boston on map(in cm) is, 25.5 cm

Explanation:

Given:

1 cm = 1200000 cm

Using conversion : 1 km = 100000 cm

`1 cm = 12 * 100000 cm`

1 cm = 12 km

or we can write it as:

12 km = 1cm

306 km =
`(306 * 1)/(12) =(306)/(12) =25.5` cm (∴by unitary method)

Therefore, the distance between NY and Boston on map(in cm) is, 25.5 cm