Give possible expressions for the length and the breadth of the rectangle whose area is

12x² - 35x + 25.

Given,

Area = 12x² - 35x + 25

⇒ lb = 12x² - 35x + 25

⇒ lb = 12x² - 15x - 20x + 25

⇒ lb = 3x(4x - 5) - 5(4x - 5)

⇒ lb = (4x - 5)(3x - 5).

Hence, if length = (4x - 5) then breadth = (3x - 5) and if length = (3x - 5) then breadth = (4x - 5).