Netwrok boost or ?

Hello,
I am trying to have my router reach my shed in the backyard. My new wireless Linklsys N router doesn't reach that far. I want to know if I can add my old Linksys G router to the backyard so that I can access it while in my shed. I have a non-wireless router already connected and I would run the wireless G after the non-wireless router.
Alternatively, are there extenders or reepeaters that work with the Wireless N from Linksys? Any other suggestions? Thank you! Backyard Office.