Marlon

Marlon drew a scale drawing of a summer camp. In real life, the sand volleyball court is 8 meters wide. It is 4 centimeters wide in the drawing. What is the drawing's scale factor?


Simplify your answer and write it as a ratio, using a colon.

Correct result:

M =  0.005
r =  1:200

Solution:

$$\begin{gathered} a=8\text{ m}\to \text{ cm}=8\cdot 100\text{ cm}=800\text{ cm } \\ b=4\text{ cm } \\ M=b\mathrm{/}a=4\mathrm{/}800={\displaystyle \frac{1}{200}}=0.005 \end{gathered}$$

$r=M=0.005={\displaystyle \frac{1}{200}}=1:200$

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