Question

A wall map is 45 cm high and 27 cm wide. Ashley wants to proportionately shrink it so its height is 12 cm. How wide would it be then?

Answer 1

Answer:
`x=\ 7(1)/(5)\ cm`

Explanation:

If there is proportional relation between two variables x and y , then we have the following equation:

`(x_1)/(y_1)=(x_2)/(y_2)`

Given: A wall map is 45 cm high and 27 cm wide.

Ashley wants to proportionately shrink it so its height is 12 cm.

Let x be the width of the shrunk map.

Then by using above formula we have,

`(x)/(27)=(12)/(45)\\\\\Rightarrow\ x=27*(12)/(45)\\\\\Rightarrow x=\ 7(1)/(5)\ cm`

Answer 2

`x=7(1)/(5)\ cm`

Explanation:

Let

x-------> the proportional wide

we know that

Using proportion

`(45)/(27)=(12)/(x)\\ \\x=27*12/45\\ \\x= 7.2\ cm`

Convert to mixed number

`7.2\ cm=7+0.2=7+(2)/(10)=7+(1)/(5)=7(1)/(5)\ cm`