Question

QU A pipeline was plotted on a map having a scale 1/2000. Its length on

this map = 50cm. What would be the length on a map having a scale 1/1000​

Answer 1

`L =100cm`

Step-by-step explanation:

Given

`Scale = (1)/(2000)` -----
`Length = 50cm`

Required

Determine the length when the scale is:
`Scale = (1)/(1000)`

The scale to length can be represented as:

`Ratio = Scale: Length`

Represent as fraction

`Ratio = (Scale)/(Length)`

When:

`Scale = (1)/(2000)` and
`Length = 50cm`

`Ratio = (1/2000)/(50cm)`

When
`Scale = (1)/(1000)`, represent the length with L

`Ratio = (1/1000)/(L)`

Equate both ratios

`(1/2000)/(50cm) = (1/1000)/(L)`

Cross Multiply:

`L * (1)/(2000) = 50cm * (1)/(1000)`

Multiply through by 2000

`L * (1)/(2000) * 2000 = 50cm * (1)/(1000) * 2000`

`L = 50cm * 2`

`L =100cm`

Hence, the length on the new scale would be 100cm