Answer:
![(11)/(33)=(x)/(45)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/689ea3luw23z2o5a3ka5vp6qtuhzg5dhul.png)
Explanation:
Let be "x" the lenght (in centimeters) of the rectangular photograph before it was enlarged,
According to the information given in the exercise, you know that the width of the photograph, before the enlargement, was 11 centimeters.
Then, knowing that the new dimensions of the photograph are:
![length=45\ cm\\\\width=33\ cm](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2450hpuwgioujr86srbbpam9epeoq6t0p5.png)
You can write the following proportion to represent this:
![(11)/(33)=(x)/(45)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/689ea3luw23z2o5a3ka5vp6qtuhzg5dhul.png)
Now, if you solve for "x" by multiplying boths sides of the equation by 45,you get that its value is:
![(45)((11)/(33))=((x)/(45))(45)\\\\(495)/(33)=x\\\\x=15](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fi6eop3afwlpkqwu4dif5fg8y72fvq2bux.png)