2000 AIME I Problem 2

Let u and v be integers satisfying 0 < v < 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.

Leading zeroes must be inputted, so if your answer is 34, then input 034

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.