Question

a map wall is 45 cm high and 27 cm wide. ashley wants to proportionately shrink so it's hight is 12 cm how wide would it be then

Answer 1

The proportion between the first measures is:

`(45)/(27)`

Now, if we want to maintain the same proportion we need that the second map fullfils:

`(12)/(x)`

Equating this proportions and solving for x we have:

`\begin{gathered} (45)/(27)=(12)/(x) \\ x=(12)/((45)/(27)) \\ x=(36)/(5) \\ x=7.2 \end{gathered}`

Therefore the width would be 7.2 cm