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5
2004 HMMT Geometry # 5
2004 HMMT Geometry # 5
Source:
March 3, 2024
geometry
Problem Statement
Find the area of the region of the
x
y
xy
x
y
-plane defined by the inequality
∣
x
∣
+
∣
y
∣
+
∣
x
+
y
∣
≤
1
|x|+|y|+|x+y| \le 1
∣
x
∣
+
∣
y
∣
+
∣
x
+
y
∣
≤
1
.
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