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A model of an aeroplane is made to a scale of 1 : 400. Calculate : the length, in m, of the aeroplane, if length of its model is 16 cm. - Mathematics

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Question

A model of an aeroplane is made to a scale of 1 : 400. Calculate : the length, in m, of the aeroplane, if length of its model is 16 cm.

Sum
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Solution

Model of an aeroplane to the actual = 1 : 400

∴ Scale factor = `400/1 = k`

Given length of model = 16 cm

∴ Actual length of aeroplane

= `(16 xx 400)/1`

= 6400 cm

= `6400/100 m`

= 64 m

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