Question

Write an expression for the length of the rectangle. (Hint: Factor the area binomial and recall that area = width x length.)

Answer 1

Given that,

Area of the rectangle is,

`3x^5-27x\text{ square units}`

Width of the rectangle is 3x units.

To find: the length of the rectangle.

Step-by-step explanation:

we know that,

Area of the rectangle is,

`length* width`

Substitute the values we get,

`3x^5-27x=length*3x`

Solving this we get,

`length=(3x^5-27x)/(3x)`
`length=(3x(x^4-9))/(3x)`
`length=x^4-9`

The length of the rectangle is,

`length=x^4-9`