Question

15

The length of a plane is 19.2 metres.
Lukas buys a scale model of the plane.
The scale of the model is 1:24
Work out the length of the scale model of the plane.
Give
your answer in centimetres.

Answer 1

`Model = 80cm`

Explanation:

Given

`Length = 19.2\ m`

`Scale=1:24`

Required

Determine the scale measurement in centimeters

The scale can be represented as:
`Model : Actual`

`Scale = Model : Actual`

Substitute 19.2 for Actual Length

`Scale = Model : 19.2\ m`

Represent as a fraction

`Scale = (Model)/(19.2m)` --- (1)

Recall that:

`Scale=1:24`

Represent as a fraction

`Scale = (1)/(24)` --- (2)

Equate (1) & (2)

`(Model)/(19.2m) = (1)/(24)`

Multiply through by 19.2m

`Model = (1)/(24) * 19.2m`

`Model = ( 19.2m)/(24)`

Convert to centimeter

`Model = ( 19.2 * 100cm)/(24)`

`Model = ( 1920cm)/(24)`

`Model = 80cm`

Hence, the length of the scale model is 80 cm