Rectangles Constructed with All Onesided Pentaboloes

The 56 onesided pentaboloes cover an area of 56*5/2=140 s-square units or 70 h-square units. Possible rectangles are 14s x 10s, 20s x 7s, 28s x 5s, 35s x 4s, 10h x 7h and 14h x 5h. The onesided pentaboloes can cover only 2*39+3=81 edge squares of a rectangle. For the count compare the double sided pentaboloes. Therefore an 2s x 70s rectangle with 140 edge squares is impossible to construct and the solution for the 35s x 4s rectangle with 74 edge squares is hard to find.
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