Find the scale of the map if the distance of even 14 km corresponds to a segment with a length of 0.7 km; 2.5cm; 2.8 km.

The scale is understood as the ratio of the image size to the size of the displayed real object. When drawing up the ratio, care should be taken that the size of the image and the size of the real depicted object are expressed in the same units of measurement.

Given:

Distance S = 14 km

Section length s:

1) 0.7 km;

2) 2.5 cm;

3) 2.8 km.

Find: M (scale).

Decision:

M = s / S.

1) M = 0.7 / 14 = 7/140 = 1/20.

2) First, we translate km into cm, knowing that 1 km = 1000 m = 100000 cm:

14 km = 1400000 m

M = 2.5 / 1400000 = 25/14000000 = 1/560000.

3) M = 2.8 / 14 = 28/140 = 1/5.