Question

A model village is built to scale.

It has a scale of 1 : 19.
A road has a real-life length of 1.14 km.
What is the length of the road in the model village in m?

Answer 1

The length of the road in the model is 60 m.

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 =
`(length on drawing)/(actual length)`

The actual length is the real-life length given as 1140 m.

So that,

`(1)/(19)` =
`(d)/(1140)`

19d = 1140

⇒ d =
`(1140)/(19)`

= 60

Therefore, the length of the road in the model is 60 m.