Answer:
CD = 14 units
Step-by-step explanation:
AB = 2x, BC = 3x - 2
Perimeter of rectangle = 66 units
[tex] \therefore2(2x + 3x - 2) = 66 \\ \\ \therefore(5x - 2) = \frac{66}{2} \\ \\ \therefore(5x - 2) = \frac{66}{2} \\ \\ \therefore(5x - 2) = 33 \\ \\ \therefore 5x = 33 +2 \\ 5x = 35 \\ \\ x = \frac{35}{5} \\ \\ x = 7 \\ \\ \because \: CD = AB \\ (Opposite \: sides \: of \: a \: rectangle) \\
\because AB = 2x=2\times 7= 14\\
\huge{ \red{ \boxed{\therefore CD = 14 \: units}}}[/tex]
