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UKMT Grey Kangaroo, 2021

Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

A rectangular strip of paper of dimensions $4 \times 13$ is folded as shown in the diagram. Two rectangles are formed with areas $P$ and $Q$ where $P = 2Q$ . What is the value of $x$ ?

(A) $5$ (B) $5.5$ (C) $6$ (D) $6.5$ (E) $4\sqrt{2}$

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