Respuesta :
To solve the problem we must know about the Ratio.
What is Ratio?
A ratio shows us the number of times a number contains another number.
The length of the living space, in reality, is 21 meters.
Given to us
- The scale is given as 2 centimeters equals 2.5 meters.
To find
- the actual length of the living space if the length of the scale drawing is 16. 8 centimeters
Scale ratio
As it is given that 2 cm on the scale drawing is equal to 2.5 meters in real, therefore, the ratio can be written as
[tex]\dfrac{\text{Length of the scale drawing}}{\text{Length in reality}} = \dfrac{2\ cm}{2.5\ meters}[/tex]
Length of the living space
Using the same scale ratio,
[tex]\dfrac{\text{Length of the living space in scale drawing}}{\text{Length of the living space in reality}} = \dfrac{2\ cm}{2.5\ meters}[/tex]
[tex]\dfrac{16.8}{x} = \dfrac{2\ cm}{2.5\ meters}\\\\x=\dfrac{16.8 \times 2.5}{2} = 21\ meters[/tex]
Hence, the length of the living space, in reality, is 21 meters.
Learn more about Ratio:
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