Two rectangles are similar. One has a length of 12 cm and a width of 9 cm, and the other has a width of 8 cm. Find the length of the second rectangle. Round to the nearest tenth if necessary.
The lengths of the sides of similar rectangles are proportional: [tex]\frac{l_1}{w_1}=\frac{l_2}{w_2} \\ \\
\frac{12}{9}=\frac{x}{8} \\ \\
\frac{12}{9} \times 8 = x \\ \\
\frac{96}{9}= x \\ \\
x \approx 10.7[/tex]
The length of the second rectangle is approximately 10.7 cm.
