A forest, the actual area of which on the earth’s surface is 1600 km2, is shown on the map

A forest, the actual area of which on the earth’s surface is 1600 km2, is shown on the map, on an area of 16 cm2. Calculate the scale.

To solve this problem, you first need to find the ratio of the real forest area to the area on the map.

1600: 16 = (Common divisor 16) = 100: 1.

From this it follows that 1 cm2 of the map depicts 100 km2 of forest.

Find the scale of the map.

To do this, we take out the value of the area from under the root.

Will be:

√1: √100 = 1: 10.

It follows from this that 1 centimeter on the map corresponds to 10 km on the ground.

Answer: 1 cm 10 km.