Answer:
length is (x+2y)
Explanation:
given, breadth= 2x-y......(1)
area = 2x²+3xy-2y²
= 2x²+(4xy-xy)-2y² as we can take [3xy= 4xy-xy]
=( 2x²+4xy) -( xy+2y²)
=2x( x+ 2y) -y( x+2y)
= (2x-y) (x+2y)= area....... (2)
Now, for rectangle, area = length× breadth
: from (1) & (2)
(2x-y) ( x+2y) =( 2x-y) × length
length = (x+ 2y) .........
Thank you......