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A triangular flower garden is being planted by a geometry class for a city park. The garden is to be enclosed by a white picket fence. The length of one side of the garden is $35$ feet, and the angles at each end of this side are ${40}^{\circ}$ and ${60}^{\circ}$. Find the amount of fencing, to the nearest tenth of a foot, needed to enclose the garden.

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