Lean-To Shelter/Shed from side of house

Hi Lads,

Done Lean-to's before but what's got me stumped is a boundary that is wider at one end than the other:

down side of house is 5m long, 1m58cm one end & 2m28cm the other (looking at the area, the right side of shed runs along side of house-Left side varies in width). Height isn't a problem but could do with some advice about which way to run the clear corrugated plastic. I was thinking of staggering the shed in 1 or 2 points and running the corrugated from house to the side.

Any other ideas?