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2019 AMC 10A Question 7

AMC10 · 2019 AMC 10A

Question 7

Two lines with slopes $\frac{1}{2}$ and $2$ intersect at $(2, 2).$ What is the area of the triangle enclosed by these two lines and the line $x + y = 10?$
  1. $4$
  2. $4\sqrt{2}$
  3. $6$
  4. $8$
  5. $6\sqrt{2}$