The scale on a map is 1cm :50 m.determine a distance of 4 cm in metres

1 cm/ 50 m = 4 cm/?

4 is 4 times greater that 1 so you need 4 times greater than 50 = 200m

Or use proportions and cross multiply

1(?) = 50(4) so ? = 200 m

To determine the distance of 4 cm on a map using a scale of 1cm : 50m, you can use a simple proportion equation.

The proportion equation would be:

1 cm (on the map) / 50 m (in real life) = 4 cm (on the map) / x m (in real life)

To solve for x, you can cross-multiply and then divide:

1 cm * x m = 4 cm * 50 m
x m = (4 cm * 50 m) / 1 cm

Canceling out the units of cm on the right side of the equation, you get:

x m = 200 m

Therefore, a distance of 4 cm on the map using the given scale represents a distance of 200 meters in real life.