These three overlapping rectangles are congruent, each with area . The black dots mark the midpoints of the short sides. What total area is covered by this design?
With the points labelled as above, is the midpoint of the short side of a rectangle and is the midpoint of the long side. Therefore, triangle has area one eighth of the area of the yellow rectangle. The overlapping regions comprise six of these triangles, so have area . The total area is then .