Lucky Dog Daycare will be enclosing a 1,200 square feet outdoor area. The enclosure will be a rectangle. One side will be formed by the external wall of their building, two sides will be constructed of pine boards, and the fourth side will be made of galvanized steel fencing. If the pine board fencing costs $6/running foot and the steel fencing costs $3/running foot, determine the dimensions of the enclosure that can be erected at a minimum cost.

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