In the trapezoid ABCD, ab | CD, the perimeter is 27, de | BC intersects AB at point E, CD = 4, what is the perimeter of the triangle ade

In the trapezoid ABCD, ab | CD, the perimeter is 27, de | BC intersects AB at point E, CD = 4, what is the perimeter of the triangle ade

nineteen
∵ aebc is a parallelogram ∵ BC = De, be = DC
The perimeter of triangle ade = AD + AE + de
=ad+ae+bc
=ad+ae+bc+be+dc-(be+dc)
=Trapezoidal ABCD perimeter - 2CD
=27-8=19