The area of triangle ABC and triangle ADC is the same.

Because point D falls on AC after CE is folded.

So EF=ED

(AB*BC)/2=(AC*EF)/2+ (Germany *DC)/2

(6 * 8)/2 =( 10 * EF)/2+(ED * 6)/2

EF=3

Area of trapezoidal ABCE

Upper and lower AE=AD-ED ED=EF

AE=8-3

AE=5

(5+8)*6/2=36