Question

The width of a rectangle is 2.0 + 4 and the length of the

rectangle is 6x + 12.
Determine the ratio of the width to the length.
Enter your answer as a simplified ratio ab or as a fraction a/b.

Answer 1

Consider the width of a rectangle is
`2x+4` instead of
`2.0+4`.

Given:

Width of a rectangle =
`2x+4`

Length of the rectangle =
`6x+12`

To find:

The ratio of the width to the length.

Solution:

The ratio of the width to the length is

`\text{Required Ratio}=\frac{\text{Width of the rectangle}}{\text{Length of the rectangle}}`

Substituting the given values in the above formula, we get

`\text{Required Ratio}=(2x+4)/(6x+12)`

Taking out common factors, we get

`\text{Required Ratio}=(2(x+2))/(6(x+2))`

`\text{Required Ratio}=(2)/(6)`

`\text{Required Ratio}=(1)/(3)`

`\text{Required Ratio}=1:3`

Therefore, the ratio of the width to the length is 1:3.