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In this figure, the perimeters of $\triangle AEF, \triangle BDF, \triangle CDE$ are equal to four-fifth of the perimeter of $\triangle ABC$. Find the perimeter of $\triangle ABC$.
Geometry
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In this figure, the perimeters of $\triangle AEF, \triangle BDF, \triangle CDE$ are equal to four-fifth of the perimeter of $\triangle ABC$. Find the perimeter of $\triangle ABC$.