Answer:
[tex]6\ cm[/tex]
Step-by-step explanation:
First Rectangle:
[tex]length(l_1)=24\ cm\\\\Width(b_1)=9\ cm[/tex]
Second Rectangle:
[tex]length(l_2)=16\ cm\\\\Let\ Width=b_2\ cm[/tex]
[tex]Since\ these\ two\ rectangles\ are\ similar\\\\\frac{l_2}{l_1}=\frac{b_2}{b_1}\\\\\frac{16}{24}=\frac{b_2}{9}\\\\16\times 9=24\times b_2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ cross\ multiplication\\\\b_2=\frac{16\times 9}{24}\\\\b_2=6\ cm[/tex]
