Give possible expressions for the length and breadth of the rectangle

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

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

Answer»

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)