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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.

1 Answer

4 votes

Answer:


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

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