TRiangles ABE and ACD are similar because BE and CD are parallel.
Therefore CD / BE = AD / AE
8 / BE = 16 / 10
BE = 8*10 / 16 = 5
Also, 16 / 10 = AC / AB = 20 / AB
AB = 10 * 20 / 16 = 12,5
Perimeter of ABE = 5 + 10 + 12.5
= 27.5 units (answer)
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