Here is a variant with pstricks
and eso-pic
packages:
\usepackage{calc}
\usepackage{pstricks}
\usepackage[texcoord]{eso-pic}
% ...
\newdimen\botX
\newdimen\rightY
\setlength{\botX}{\paperwidth-1.3in}
\setlength{\rightY}{-\paperheight+1.3in}
\AddToShipoutPicture{%
\psframe[
linewidth=0pt,linecolor=lightgray,
fillstyle=solid,fillcolor=lightgray]
(0,0)(\paperwidth,-\paperheight)
\psframe[
linewidth=0pt,linecolor=white,
fillstyle=solid,fillcolor=white]
(1.3in,-1.3in)(\botX,\rightY)
}
It would be better to ask TeX for exact margins (in example above i took exact margins i've provided to geometry
package).
On the other hand --- it's possible to make shaded area smaller or like that. Round corner, let's say .-)