Dominic van der Zypen posed an interesting Box stacking problem. This is a spin-off question.

Let a collection of rectangles $r_1,\ldots,r_n$ be given by their side lengths in $\mathbb{R}$. Let $R$ be a rectangle of minimum area enclosing the rectangles arranged in the plane without overlap (i.e., with disjoint interiors).

. Is there an example where not all the rectangles have sides aligned with the sides of $R$?Q

In other words, where at least one rectangle's sides are not parallel to the sides of $R$? Is it ever advantageous to "tilt" one or more rectangles to achieve a minimal area?