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2021 AMC 10B Question 20

AMC10 · 2021 AMC 10B

Question 20

The figure below is constructed from $11$ line segments, each of which has length $2.$ The area of pentagon $ABCDE$ can be written as $\sqrt{m} + \sqrt{n},$ where $m$ and $n$ are positive integers. What is $m + n ?$

Question illustration
  1. $ 20 $
  2. $ 21 $
  3. $ 22 $
  4. $ 23 $
  5. $ 24 $