Angle DAC = Angle DCE
sin DAC = sin DCE
DC/ 100 = 36/DC
DC^2 =3600
DC = 60
AD =sqrt (AC^2 - DC^2) =sqrt (100^2 - 60^2) = sqrt ( 6400) = 80
EC =sqrt (DC^2 - DE^2) = sqrt (60^2 - 36^2) = sqrt (2304) = 48
Triangles DEB and ADC are similar
DB/ DE = AC/ AD
DB / 36 = 100 /80
DB /36 = 5/4
DB = (5/4) 36 = 45
BE/ DB = DC/ AC
BE/45 = 60 / 100
BE/45 = 3/5
BE = 45 * 3/5 = 27
So....the perimeter = AC + EC + BE + DB + AD =
100 + 48 + 27 + 45 + 80 =
300