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UKMT Senior Mathematical Challenge, 2017

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

A rectangle is divided into three smaller congruent rectangles as shown. Each smaller rectangle is similar to the large rectangle. In each of these four rectangles, what is the ratio of the length of a longer side to that of a shorter side?

(A) $2\sqrt{3}:1$ (B) $3:1$ (C) $2:1$ (D) $\sqrt{3}:1$ (E) $\sqrt{2}:1$

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