No, because the degree of failure of the tiling is judged against the area of the covering shape.
This is one of the more confusing problem statements, but I think I understand. So if we choose a regular hexagon with height = 0.5, as in this link, the scoring for this solution would be ((area of triangle - area of hexagon) + (area of square - 3 * area of hexagon)) / area of hexagon?
edit: Gur orfg fbyhgvba V pbhyq pbzr hc jvgu jnf whfg gur n evtug gevnatyr gung'f unys gur nern bs gur rdhvyngreny gevnatyr. Lbh pna svg 4 va gur fdhner naq gjb va gur gevnatyr, naq gur fpber vf cbvag fvk. V bayl gevrq n unaqshy bs erthyne gvyvatf gubhtu.
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