Funny Shapes solution
Each funny shape is the intersection of two US states whose abbreviations have an "intersecting" letter in common (the first letter of one of the states is the second letter of the other).
NM/MT overlaps with
M
LA/AZ overlaps with
A
KS/SC overlaps with
S
MO/OK overlaps with
O
TN/NY overlaps with
N
WI/IN overlaps with
I
NC/CT overlaps with
C
CO/OH overlaps with
O
AR/RI overlaps with
R
MS/SD overlaps with
S
AK/KY overlaps with
K
MI/IL overlaps with
I
Reading the intersecting letters in the order the images are given in spells the cluephrase
MASONICORSKI, which denotes the answer
LODGE.