Question

The width of a rectangle is 2x + 4, and the length of therectangle is 8x + 16. Determine the ratio of the width to thelength.Enter your answer as a fraction in the form a/b.

Answer 1

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

`\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)}} \\ =(1)/(4) \end{gathered}`

Hence, the ratio of the width to the length is

`(1)/(4)`