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MATH / 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 …
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problem
Square A and Square B are both by squares. Square A has both its length and width increased by an amount , while Square B has its length and width decreased by the same amount . What is the minimum value of such that the difference in area between the two new squares is at least as great as the area of a by square?
Plain-text mathematical notation (without MathML)
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?
Original LaTeX notation
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?
level
Level 5
type
Algebra
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