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, 2002

Algebra Difficulty 2.0 Junior Prove it Canada

In the diagram, points $P(3, 2)$ , $Q(11, 2)$ and $R(11, k)$ form a triangle with area $24$ , where $k > 0$ . What is the value of $k$ ?

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.