tan∠EAN=BE:AB= 1/3
Let the side length of a square be a, BE=a/3 and CE=BC-BE=2a/3.
DC+CE=5a/3= 10
a=6,BE=a/3=2
Let AN be x, thEN en be x and BN be 6-X.
,RT△BEN,BE? +BN? =EN?
(6-X)? +2? =X?
x? - 12X+40=X?
X= 10/3,
AN=EN= 10/3,BE=8/3,
s△AND = 1/2×an×AD = 1/2× 10/3×6 = 10
(2)sin∠ENB = BE/EN = 2:( 10/3)= 3/5