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AMC 12 2012b Problem 2

  • Paper

A circle of radius 5 is inscribed in a rectangle as shown. The ratio of the length of the rectangle to its width is 2:1. What is the area of the rectangle?

draw((0,0)--(0,10)--(20,10)--(20,0)--cycle);
draw(circle((10,5),5));

\textbf{(A)}\ 50 \textbf{(B)}\ 100 \textbf{(C)}\ 125 \textbf{(D)}\ 150 \textbf{(E)}\ 200

Dataset text AMC 12 2000 to 2025. Quoted with source.

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E

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