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Putnam
1982 Putnam
A1
A1
Part of
1982 Putnam
Problems
(1)
centroid of region of R2
Source: Putnam 1982 A1
9/19/2021
Let
V
V
V
be the region in the Cartesian plane consisting of all points
(
x
,
y
)
(x,y)
(
x
,
y
)
satisfying the simultaneous conditions
∣
x
∣
≤
y
≤
∣
x
∣
+
3
and
y
≤
4.
|x|\le y\le|x|+3\text{ and }y\le4.
∣
x
∣
≤
y
≤
∣
x
∣
+
3
and
y
≤
4.
Find the centroid of
V
V
V
.