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AMO · 2027 · Grades 6-7 · Self-study SET 26 Question 2

AMO

Question 2

Thirty-six points are arranged in a unit-square array as shown. Figure $ABCDE$ consists entirely of straight-line segments. If its perimeter is $x+y\sqrt5+z\sqrt{13}$ units, find $x+y+z$.

Question illustration

Here $x,y,z$ are the nonnegative integer coefficients after like radical terms have been collected.

**Input:** Choose one option.
  1. 1
  2. 2
  3. 3
  4. 5
  5. 6