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Maths

The scale on a map is 1:200 000.

Work out the number of kilometres represented by 2.5 cm on the map.

I've never done a question like this before. If you can help I would be really grateful.

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  1. Notice the scale of 1 : 200000 has no units.
    that means we could use any units, that is,
    1 cm on the map represents 200000 cm
    1 mm on the map represents 200000 mm
    1 inch on the map represents 200000 inches

    so if 1 cm represents 200000 cm
    then 2.5 cm represents 2.5(200000) cm
    which is 500000 cm
    which is 5000 m <----- 1 m = 100 cm
    which is 5 km <----- 1 km = 1000 m

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  2. Scale= 1:200000
    1km=100000cm
    X km=200000cm
    200000km/100000=2km
    1/200000=2.5/y
    Y= 500000cm
    500000cm/100000= 5 km

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