Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given:

(i) Area: 25a² - 35a + 12

(ii) Area: 35y² + 13y - 12

(i) 25a² - 35a + 12

Area of Rectangle = Length x Breadth

= 25a² - 35a + 12

= 25a² -(20a + 15a) + 12

= 25a² -20a -15a + 12

= 5a(5a - 4) - 3(5a - 4)

= (5a - 4)(5a - 3)

Hence, one possible answer is : Length = 5a - 3, Breadth = 5a - 4

(ii) 35y² + 13y - 12

Area of Rectangle = Length x Breadth

= 35y² + 13y - 12

= 35y² +(28y - 15y) - 12

= 35y² + 28y - 15y - 12

= 7y(5y + 4) - 3(5y + 4)

= (5y + 4)(7y - 3)

Hence, one possible answer is : Length = 7y - 3, Breadth = 5y + 4