Tiling a Chamfered Rectangle with Two Pentaboloes

Introduction

A pentabolo or pentatan is a plane figure formed by joining five equal isosceles right triangles at their legs or hypotenuses. Here are the 30 pentaboloes:

A chamfered rectangle is a rectangular polyabolo with its corner cells clipped diagonally. To prevent cuts from meeting, I require the dimensions of the rectangle to be 3 or greater.

Here I show the minimal known chamfered rectangle that can be tiled by a pair of pentaboloes, using at least one copy of each.