Respuesta :
Answer:
- 16 cm
Step-by-step explanation:
Use ratios to solve:
- 125 m ⇒ 25 cm
- 80 m ⇒ x cm
Find the value of x:
- x = 80*25/125 = 16
The length of the building on the scale drawing for the given context is obtained as: 16 cm.
How are scale drawings formed?
For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.
Then it means
[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]
All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.
For the given case, The height of the building 125 meters was drawn as 25 cm in the scale drawing.
That means:
[tex]\rm 125 \: m : 25 \: cm\\\\1 \: m : \dfrac{25}{125} \: cm\\\\1 \: m :\dfrac{1}{5} \: \rm cm[/tex]
Since the length of the building in reality is 80 meters.
Thus, in scale drawing, it would become:
[tex]\rm 80 \: m = 80 \times 1 \: m : 80 \times \dfrac{1}{5} \: cm = 16 \: \rm cm[/tex]
Thus, The length of the building on the scale drawing for the given context is obtained as being of 16 cm.
Learn more about scale drawing here:
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