Question

A map is drawn to a scale of 1 cm to 250 cm.

(a) an airport has an area of 240 cm² on the map. find its actual area in km².​

Answer 1

0.0015 km².

Explanation:

It is given that a map is drawn to a scale of 1 cm to 250 cm.

`1\ cm* 1\ cm=250\ cm* 250\ cm`

`1\ cm^2=62500\ cm^2`

It is given that an airport has an area of 240 cm² on the map. So, its actual area is

`Area=240* 62500\ cm^2`

`Area=15000000\ cm^2`

`Area=(15000000)/(10000000000)\ km^2`

`Area=0.0015\ cm^2`
`[\because 1\ km^2=10000000000\ cm^2]`

Therefore, the area of airport is 0.0015 km².