A landscape architect is designing a rectangular garden enclosure. One side of the rectangle will made using brick, which costs $$99$ per linear foot; the other three sides of the rectangle will be made using wood which costs $$3$ per linear foot. If the enclosure needs to have a total area of $100f{t}^2,$ find the dimensions that will minimize the cost of the project. Be sure to state both dimensions of the rectangle in your final answer.