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AMO 2018 Secondary 2 (Grade 8) Question 10

AMO · AMO 2018 Secondary 2 (Grade 8)

Question 10

The diagonals of a kite are perpendicular. If the perimeter of kite $KITE$ shown is $2(\sqrt{x}+\sqrt{y})$ units, find $x+y$.

Clarification of the intended interpretation: $\sqrt{x}$ and $\sqrt{y}$ denote the two distinct side lengths of the kite.

Question illustration