Question

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

Answer 1

Area = 35y²  +13y -12

Splitting the middle term,

Area = 35y²  + 28y -15y -12

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

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

Also area of rectangle = Length x Breadth

∴ Possible length = (5y + 4) and breadth = (7y - 3)

Or Possible length = (7y - 3) and breadth = (5y + 4)