i have been working on this for a while someone please help

Square A and Square B are both $2009$ by $2009$ squares. Square A has both its length and width increased by an amount $x$, while Square B has its length and width decreased by the same amount $x$. What is the minimum value of $x$ such that the difference in area between the two new squares is at least as great as the area of a $2009$ by $2009$ square?

Guest Apr 7, 2022