Triangulate Nate

Nate lives in a city of an infinite grid.
You must find out where he has hid.

He's a stone cold killer, eyes dead like rocks.
Intel suggests he is within $2$ blocks
of $-2X$ , $1X$ , and $0Y$ street.
Cops will be looking when they're out on the beat.

Nate's causing hysteria.
What is the search area?

Details and assumptions:

• See the map for details on how the streets are labeled.
• There is $1$ block between each street intersection.
• Enter your answer in $blocks^{2}$ .
• The width of a street is infinitesimal.
• Enter $-1$ if the search area is infinite.

I modified this map of Atlanta, Georgia by panoramic map artist Albert Ruger .