Respuesta :

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)