Question

An architect creates a scale model of a building with a scale of 5 cm =4 m. If the actual building is 32 m tall, how tall is the scale model?
A.8
B.25.6
C.33
D.40

Answer 1

A is the answer did the math

Answer 2

The height of the building on the scale model created by the architect is 40 centimeters long.

What is scale factor?

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

The architect creates a scale model of a building with a scale of,

$\rm 5 \;cm =4 \; m$

As, one meter is equal to 100 centimeters. Thus, the scale factor used by the architect for the building is,

$r=\dfrac{5}{400}\\r=\dfrac{1}{80}$

Now the actual building is 32 m tall. Let suppose the height of the building on the model is x meters. Thus, the scale factor for this can be given as,

$r=\dfrac{x}{3200}$

Now, both the scale factor are of the same model. Therefore,

$\dfrac{x}{3200}=\dfrac{1}{80}\\x=40\rm cm$

Hence, the height of the building on the scale model created by the architect is 40 centimeters long.

Learn more about the scale factor here;

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