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Can you find other triangles (with the red line as their base) that have the same area as the triangular part of the field on the right?
Are there any parallel lines we can draw that might help?
What do we know about triangles with the same base and the same perpendicular height?
The challenge is to produce elegant solutions. Elegance here implies simplicity. The focus is on rhombi, in particular those formed by jointing two equilateral triangles along an edge.
Explore patterns based on a rhombus. How can you enlarge the pattern - or explode it?
Jenny Murray describes the mathematical processes behind making patchwork in this article for students.