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UKMT Senior Kangaroo, 2023

Geometry Difficulty 3.0 AMC 10/12 Prove it United Kingdom

A particular flag is in the shape of a rectangle divided into five smaller congruent rectangles as shown. When written in its lowest terms, the ratio of the side lengths of the smaller rectangle is $\lambda : 1$ , where $\lambda < 1$ . What is the value of $360\lambda$ ?

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