The area of the plot of land is rectangular 52500 m2. When depicting this area on a plan drawn up to a scale of 1: 5000

The area of the plot of land is rectangular 52500 m2. When depicting this area on a plan drawn up to a scale of 1: 5000, a rectangle 6 cm long was obtained. Find the width of the terrain.

With a scale of 1: 5000, to determine what distance fits in 1 centimeter, 5000 should be divided by 100 centimeters.
In this case, we get:
5000/100 = 50 meters.

Thus, we get that in 6 centimeters on the map is located:
6 * 50 = 300 meters.

In order to find the real width of a given area, the area should be divided by the length.
We get:
52500/300 = 175 meters.

We translate this distance to scale on the map.
175/50 = 3.5 centimeters.

Answer: The width on the map will be 3.5 cm, the real width will be 175 meters.



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