(1) In the rectangular trapezoid ABCD, ad is parallel to BC, ∠ a = 90 ° and ∠ d = 120 °, if ad is 1:2 to BC, the median length of the reminder is 9, then the trapezoid area is? (2) quadrilateral ABCD, e is the key point, f is a point on BC, and △ AEF is all equal to △ ABF, if CD = 12, then EF =? (3) rectangular ABCD, ab = 3, BC = 4, if the diagonal BD of the awakened eye is folded, then the area of △ EBD is? Write the answer directly,

(1) In the rectangular trapezoid ABCD, ad is parallel to BC, ∠ a = 90 ° and ∠ d = 120 °, if ad is 1:2 to BC, the median length of the reminder is 9, then the trapezoid area is? (2) quadrilateral ABCD, e is the key point, f is a point on BC, and △ AEF is all equal to △ ABF, if CD = 12, then EF =? (3) rectangular ABCD, ab = 3, BC = 4, if the diagonal BD of the awakened eye is folded, then the area of △ EBD is? Write the answer directly,

BDC and BDC 'congruence
So EBD = CBD
Ad is parallel to BC, and the internal stagger angle is equal
So EDB = CBD
So angle EBD = angle EDB
So in the triangle EBD
ED=EB
Let ed = EB = a
Then AE = ad-a = 4-a
AB=3,EB=a
Abe is a right triangle
So by Pythagorean theorem
AB^2+AE^2=BE^2
3^2+(4-a)^2=a^2
9+16-8a+a^2=a^2
So a = 25 / 8
AE=4-25/8=7/8
So the area of triangle Abe = AB * AE / 2 = (3 * 7 / 8) / 2 = 21 / 16
Triangle abd area = ad * AE / 2 = (3 * 4) / 2 = 6
So the area of triangle EBD = abd area - Abe area = 6-21 / 16 = 75 / 16