Give possible expressions for the length and breadth of the rectangle having 35y2+13y-12 as its area.

We know that,


Area of rectangle = length × breadth


Given,


35y2 + 13y – 12 = 35y2 + 28y – 15y -12


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


= (7y – 3) (5y + 4)


Thus,


Length = (7y – 3), then breadth = (5y + 4)


Length = (5y + 4), then breadth = (7y – 3)


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