Question 2
Let $u$ and $v$ be integers satisfying $0 \lt v \lt u.$ Let $A = (u, v),$ let $B$ be the reflection of $A$ across the line $y = x,$ let $C$ be the reflection of $B$ across the $y$-axis, let $D$ be the reflection of $C$ across the $x$-axis, and let $E$ be the reflection of $D$ across the $y$-axis. The area of pentagon $ABCDE$ is $451.$ Find $u + v.$