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UKMT Intermediate Mathematical Challenge, 2023

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

A 3 by 2 rectangle is split into four congruent right-angled triangles, as shown in the left-hand diagram. Those four triangles are rearranged to form a rhombus, as shown in the right-hand diagram. What is the ratio of the perimeter of the rectangle to the perimeter of the rhombus?

(A) $3:2$ (B) $2:1$ (C) $1:1$ (D) $1:2$ (E) $2:3$

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