A map

A map of size 60cm by 25cm is reduced in the ratio of 3:5, twice. What are the new dimensions?

Correct result:

x =  21.6 cm
y =  9 cm

Solution:

$$\begin{gathered} a=60\text{ cm } \\ b=25\text{ cm } \\ k=(3\mathrm{/}5{)}^2={\displaystyle \frac{9}{25}}=0.36 \\ x=a\cdot k=60\cdot 0.36={\displaystyle \frac{108}{5}}={\displaystyle \frac{108}{5}}\text{ cm}=21.6\text{ cm} \end{gathered}$$

$y=b\cdot k=25\cdot 0.36=9\text{ cm}$

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