Answer: Length of shorter side is 2.8 cm.
Step-by-step explanation:
Since we have given that
Dimensions of a room are given by
![4.2\ m* 6\ m](https://img.qammunity.org/2019/formulas/mathematics/high-school/jyuhymc20luypvww65xclzmbusvv569lb5.png)
On a plan, the longer side = 4 cm
As we know that the ratio of original room is equal to ratio of plan room
So,
![(4.2)/(6)=(x)/(4)\\\\4.2* 4=6x\\\\16.8=6x\\\\(16.8)/(6)=x\\\\2.8=x](https://img.qammunity.org/2019/formulas/mathematics/high-school/sdkvbzj2ui1s4jd7jplavwty3c6kj0g98w.png)
So, length of shorter side is 2.8 cm.