Freeflows
Square Area Difference
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?
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- $\frac{a}{b}$
- .
- 0
- =
- %
- $a^n$
- $a^{\circ}$
- $a_n$
- $\sqrt{}$
- $\sqrt[n]{}$
- $\pi$
- $\ln{}$
- $\log$
- $\theta$
- $\sin{}$
- $\cos{}$
- $\tan{}$
- $($
- $)$
- $[$
- $]$
- $\cap$
- $\cup$
- $,$
- $\infty$