Respuesta :

Answer: [tex]9\ by \ (3x-1)[/tex]


Step-by-step explanation:

The given expression for area = [tex]27x-9[/tex]

Factorize [tex]27x-9[/tex]

Taking 9 as great common factor outside, we get

[tex]27x-9=9(3x-1)[/tex]

We know that the area of rectangle with dimensions length by breadth is given by:-

Area = [tex]length\times\ breadth[/tex]

Hence, the possible dimensions of the rectangle will be [tex]9\ by \ (3x-1)[/tex].