Given the parameters of the rectangle:
length = (8x + 16)
width = (2x + 4)
The ratio of the width to the length of the rectangle is evaluated as
[tex]\begin{gathered} \frac{\text{width}}{length}\text{ = }\frac{(2x\text{ + 4)}}{(8x\text{ + 16)}} \\ \text{factorize the denominator} \\ \Rightarrow\frac{(2x\text{ + 4)}}{4(2x\text{ + 4)}} \\ =\frac{1}{4} \end{gathered}[/tex]
Hence, the ratio of the width to the length is
[tex]\frac{1}{4}[/tex]
