  We generalize a result of McDonald and Taylor which concerns the size of the
tuples of edge lengths in the set $C_1 \times C_2$ utilizing the notion of
thickness. Specifically, we show that $C_1, C_2 \subset \mathbb{R}^d$ compact
sets with thickness satisfying $\tau(C_1) \tau(C_2) >1$, then the edge lengths
in $C_1 \times C_2$ corresponding to any pinned finite tree configuration has
non-empty interior. Originally proven for Cantor sets on the real line by
McDonald and Taylor, we use the notion of thickness introduced by Falconer and
Yavicoli which allows us to generalize the result of McDonald and Taylor to
compact sets in $\mathbb{R}^d$.
