Question 4
The diagonals of kite $KITE$ are perpendicular. Its perimeter is $2(\sqrt{x}+\sqrt{y})$ units. Find $x+y$.
**Convention:** $x$ and $y$ are the squares of the two different adjacent side lengths obtained from the right triangles in the figure; do not arbitrarily rewrite the radical sum. The diagonal intersection splits $KT$ into lengths 2 and 2, and $IE$ into lengths 3 and 4.
**Convention:** $x$ and $y$ are the squares of the two different adjacent side lengths obtained from the right triangles in the figure; do not arbitrarily rewrite the radical sum. The diagonal intersection splits $KT$ into lengths 2 and 2, and $IE$ into lengths 3 and 4.