Scale is an expression synonymous with the word ratio.

Questions about scale deal with the relationship between the actual dimensions of an object and those of the drawing that represents it.

How are scales read?

On the left appears the dimension of the graphical representation or map

On the right appears the real dimension.


How can you remember that on the left you always see the scale of the scheme or drawing?

In the word left and in the word scale the letter e e appears.

Note: When writing scales, we must use the same units of measure in the scheme and in the real world.

If you have, for example, a dimension given in centimeters in the scheme and in reality it is in meters, the units must be converted so that they are identical and only then noted on the scale.

Let's look at an example

The height of the building where Noa lives is 150 150 meters.

Diana drew it on a sheet with a height of 50 50 centimeters.

What is the scale?


First, we will convert the units from reality (meters) to those of the drawing (centimeters).

1 1 meter is 100 100 centimeters, therefore 15 15 meters are 15,000 15,000 centimeters.

Then we will note the scale according to the known standard, on the left side the measurements of the drawing and it will look like this:

50:15,000 50:15,000

Scale according to the known standard

Let's look at another example

In the following map the given scale is 1:400 1:400 .
The distance on the map is 3 3 cm. 

What is the distance in reality?

Let's review what we have already learned, remember that, on the left side appears the number that represents the scheme and, on the right side the real dimension. That is, 1 1 represents the scheme and 400 400 represents reality.
Therefore, the real distance is 400 400 times greater than the schematized one.
From the above it follows that the distance in the scheme is 3 3 cm, therefore, in reality it is 1200 1200 cm or 12 12 meters. 

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