A scale model of the block letter $\mathrm{H}$ in the Hollywood sign can be drawn by plotting the following points and connecting them: $(0,0),(13,0),(13,16),(26,16),(26,0)$ $(39,0),(39,45),(26,45),(26,29),(13,29),(13,45),$ and

$(0,45) .$ The scale is 1 unit on the graph is equal to 1 foot on the actual sign. If a gallon of paint covers 350 square feet, how many gallons are needed to paint the front side of the letter H? Round to the nearest gallon.

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