The plan, the scale of which is 1: 25000, shows a rectangular piece of land.

The plan, the scale of which is 1: 25000, shows a rectangular piece of land. Find the area of the site if on the plan its length and width are respectively 4.2 cm and 2.4 cm.

A scale of 1: 25,000 shows that 1 cm on the plan corresponds to 25,000 cm in reality.

1) Find the length of the segment in reality:

4.2 * 25,000 = 105,000 (cm) – the length of the section in reality.

2) Find the width of the plot in reality:

2.4 * 25,000 = 60,000 (cm) – the width of the site in reality.

3) Find the area of the land plot:

105,000 * 60,000 = 6,300,000,000 (cm ^ 2) – the area of the site.

Let us express the area in km ^ 2:

6,300,000,000 cm ^ 2 = 0.63 km ^ 2.

Answer: the area of the land plot is 0.63 km ^ 2.