Question

The width of a rectangle is (x + 2).
If its area is x4 + 2x3 + 6, find its length.

Answer 1

The length of rectangle is given as
`length = (x^4+2x^3+6)/(x+2)`

Solution:

Given that,

Width of rectangle = x + 2

Area of rectangle =
`x^4+2x^3+6`

Length of rectangle = ?

The area of rectangle is given as:

`\text{Area of rectangle } = length * width`

Therefore, length is given as:

`length = \frac{\text{Area of rectangle}}{width}`

Substituting the given values we get,

`length = (x^4+2x^3+6)/(x+2)`

There are no common factors that could be cancelled. Also numerator cannot be factored further

Thus length of rectangle is given as
`length = (x^4+2x^3+6)/(x+2)`