Room equation

[Climb9]

Hello
Given the total wall length and the floor area of an odd shaped room I would then like to have an equation that would tell me the room dimensions (width and length) if the room were to be simplified into a rectangular shape while retaining the same total wall length and floor area. I've tried combining the following two equations:
area = width x height
Total wall length = 2*width + 2*length
but it's a long time since I have done any maths so I can't work it out. I'm guessing this would be easy for someone more familiar with algebra?

 

[HallsofIvy]

Not without knowing what the "odd shape" is!

 

[Climb9]

Thanks for your quick reply!
They could be various shapes such as L shaped, T shaped etc but simple enough for me to measure the total wall length and calculate the floor area.
For example an L shaped room 6m x 5m and 2m wide giving a total wall length of 22m and a floor area of 18m^2

 

[Climb9]

That works great. Thanks for your help