Answer:
[tex]22.5-6=16.5\ \text{units}[/tex]
Explanation:
The ratio of length and width is [tex]\dfrac{6}{4}[/tex]
Now the width increases by 11 units. Let the length be x units
The ratio of the sides will be the same for the new rectangle, so we get
[tex]\dfrac{6}{4}=\dfrac{x}{4+11}\\\Rightarrow \dfrac{6}{4}=\dfrac{x}{15}\\\Rightarrow x=\dfrac{6}{4}\times 15\\\Rightarrow x=22.5\ \text{units}[/tex]
The length of the new rectangle would be [tex]22.5\ \text{units}[/tex]
Increase in length is [tex]22.5-6=16.5\ \text{units}[/tex].
