Answer:
The length of the road in the model is 60 m.
Step-by-step explanation:
Given: scale = 1:19
real-life length of the road = 1.14 km
= 1140 m
Let the length of the road in the model be represented by d. A scale is a representative fraction that can be used to either increase or decrease the length of an object.
Scale = [tex]\frac{length on drawing}{actual length}[/tex]
The actual length is the real-life length given as 1140 m.
So that,
[tex]\frac{1}{19}[/tex] = [tex]\frac{d}{1140}[/tex]
19d = 1140
⇒ d = [tex]\frac{1140}{19}[/tex]
= 60
Therefore, the length of the road in the model is 60 m.