What is the area of a forest if on a map with a scale of 1: 20,000 it is depicted as a rectangle

What is the area of a forest if on a map with a scale of 1: 20,000 it is depicted as a rectangle with sides of 5 cm and 8 cm?

Let’s calculate the forest area on the map. Since the forest is shown in the form of a rectangle, its area will be equal to:
S = a * b,

where a and b are the length and width of the rectangle, respectively.

Find the area of ​​a rectangle with a length of 8 cm and a width of 5 cm:

S = 8 * 5 = 40 (cm ^ 2).

Since 1 cm on the map is equal to 20,000 cm in reality, then 1 cm ^ 2 is equal to 20,000 * 20,000 = 400,000,000 cm ^ 2 in reality.
Let’s make the proportion:

1 cm ^ 2 = 400,000,000 cm ^ 2;

40 cm ^ 2 = x.

Let’s find what the forest area is equal to:

x = (40 * 400000000) / 1 = 16000000000 (cm ^ 2).

Let’s convert the value 16,000,000,000 cm ^ 2 into square kilometers.
Since 1 km is equal to 1000 m, and 1 m is 100 cm, then 1 km is equal to 100 * 1000 = 100000 (cm), then 1 km ^ 2 is equal to 100000 * 100000 = 10000000000 (cm ^ 2).

Let’s make the proportion:

1 km ^ 2 = 10,000,000,000 cm ^ 2;

x = 16,000,000,000 cm ^ 2.

Let’s find the area of ​​the forest in square kilometers:

x = (1 * 16,000,000,000) / 1,000,000,000 = 16,000,000,000 / 1,000,000,000 = 1.6 (km ^ 2).

Answer: 1.6 km ^ 2.