Solved
Real-World-Problem
of
Ratio and Proportion
QUESTION: A model village is built to scale. It has a scale of 1:26. A road has a real-life length of 1.95 km. What is the length of the road in the model village in m?
SOLUTION:
As we
know,
1 km
= 1000 m
So,
1.95
km = 1.95 × 1000 m = 1950 m
It is
given that a model village is built to scale of 1:26
Let `a` be the length of the road in the model village for a road whose real-life length is 1.95km or 1950m
Then
1 :
26 :: `a` : 1950
`frac1{26}=frac
a{1950}`
By
cross multiplication
`a`×26
= 1×1950
`a` = `frac{1950}{26}` = 75 m
Thus,
if the length of the road in real life is 1.95 km
then
its length in the model village is 75 m