Hi
Let length = 2x-5
Let width = x-3
( 2x-5) ( x- 3 ) = 55m^2
2x^-6x-5x+15=55m^2
2x^-11x+15=55
2x^-11x-40 = 0 |good work thus far! Note m^2 on Area
Our best friend in this case: the Quadratic formula
x = 8 or x = -2.5 |Tossing out negative solution
x = 8m, the original width, Original length 16m
NEW Dimensions: width = 5m, length = 11m
CHECKING our Answer
5m*11m = 55m^2