give possible expression for the length and breadth of a rectangle whose area is 4a^2+4a-3

Answer :

We have Area of rectangle  =   4a² +  4a  -  3 

So,

$\Rightarrow$   4a² + 6a -  2a  -  3 

$\Rightarrow$  2a ( 2a  +  3 ) - 1 (  2a  +  3   )

$\Rightarrow$  ( 2a  -  1 ) ( 2a  +  3 ) 

And

We know Area of rectangle  =  Length $\times$ Breadth 

So,
Possible expression for the length and breadth of a rectangle  = ( 2a  -  1 )  and  ( 2a  +  3 )                              ( Ans )