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Sagot :
Ratio compares two things. The area of the room, in reality, is 23.52 m².
What is the scale ratio?
Scale ratio compares the length on the map with the length in the reality.
Given to us
Length on the map, L = 12 cm = 0.12 m
Width on the map, w = 4 cm = 0.04 m
Scale model uses a scale in which 2 centimeters represent 1.4 meters.
As it is given to us the scale model uses a scale in which 2 centimeters represents 1.4 meters. therefore,
[tex]\rm \dfrac{Scale\ Model}{Reality} = \dfrac{0.02}{1.4}[/tex]
Length in the reality,
[tex]\rm \dfrac{L}{L'} = \dfrac{0.02}{1.4}\\\\\rm \dfrac{0.12}{L'} = \dfrac{0.02}{1.4}\\\\L' = 8.4\ m[/tex]
Width in reality,
[tex]\rm \dfrac{W}{W'} = \dfrac{0.02}{1.4}\\\\\rm \dfrac{0.04}{W'} = \dfrac{0.02}{1.4}\\\\W' = 2.8\ m[/tex]
The area of the room in reality,
A = L' x W'
A = 8.4 x 2.8
A = 23.52 m²
Hence, the area of the room, in reality, is 23.52 m².
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