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2024 AMC 10A Question 16

AMC10 · 2024 AMC 10A

Question 16

All of the rectangles in the figure below, which is drawn to scale, are similar to the enclosing rectangle. Each number represents the area of the rectangle. What is length $AB?$

Question illustration
  1. $4 + 4\sqrt5$
  2. $10\sqrt2$
  3. $5 + 5\sqrt5$
  4. $10\sqrt[4]{8}$
  5. $20$