2009 AMC 8 Problems/Problem 8

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Problem

The length of a rectangle is increased by $10%$ (Error compiling LaTeX. Unknown error_msg) and the width is decreased by $10%$ (Error compiling LaTeX. Unknown error_msg). What percent of the old area is the new area?


$\textbf{(A)}\  90  \qquad \textbf{(B)}\   99  \qquad \textbf{(C)}\   100  \qquad \textbf{(D)}\   101  \qquad \textbf{(E)}\   110$