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

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Solution

Given that,

Length of the model $= 16 c m = 0.16 m$

$S c a l e = \frac{M o d e l l e n g t h}{A e r o p l a n e l e n g t h} = \frac{1}{400}$

$A e r o p l a n e L e n g t h = m o d e l l e n g t h \times 400$

$A e r o p l a c e l e n g t h = 0.16 \times 400$
$A e r o p l a c e l e n g t h = 64 m$

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

Given that,Length of the model =16 cm=0.16 mScale=ModellengthAeroplanelength=1400AeroplaneLength=model length×400Aeroplace length=0.16×400Aeroplace length=64m

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