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2023 AMC 10B Question 24

AMC10 · 2023 AMC 10B

Question 24

What is the perimeter of the boundary of the region consisting of all points which can be expressed as $(2u - 3w,\ v + 4w)$ with $0 \le u \le 1,$ $0 \le v \le 1,$ and $0 \le w \le 1?$
  1. $10\sqrt{3}$
  2. $13$
  3. $12$
  4. $18$
  5. $16$