# Triangulate Nate

Geometry Level 4

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.
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