  We consider extending the visibility polygon of a given point $q$, inside a
simple polygon $P$ by converting some edges of $P$ to mirrors. We will show
that several variations of the problem of finding mirror-edges to add precisely
$k$ units of area to $VP(q)$ are NP-complete. The optimal cases are NP-hard. We
are unaware of any result on adding an exact number to a polygon, or covering
an area with an exact surface. We deal with both single and multiple reflecting
mirrors for both specular or diffuse types of reflections.
