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Australian AMC 2023 - Intermediate Question 17

AMC AUSTRALIA · Australian AMC 2023 - Intermediate

Question 17

A $15\text{ cm}\times15\text{ cm}$ square of origami paper is dark blue on top and pale yellow underneath. Its top-left corner is folded down along a crease from the top-right corner to a point $x$ cm above the bottom-left corner. After folding, the visible yellow and blue areas are equal. What is $x$?

Question illustration
  1. 5
  2. $6\frac23$
  3. $3\sqrt3$
  4. 6
  5. $4\sqrt2$