For the isosceles trapezoid ABCD, ad is parallel to BC, ad = 2cm, BC = 8cm, e is the midpoint of the lumbar CD, be divides the trapezoid into two parts, the perimeter difference is 3cm, and calculates the length of ab I only have the second grade of junior high school, and I am learning the median line of triangle and trapezoid. I hope you can help me solve the problem according to the direction of this theorem

Let AB = X
(1) If the perimeter of a quadrilateral is shorter than that of a triangle, then
X+2+BE+DE+3=8+BE+CE
Because de = CE
X+2+3=8
X=3
Because 3 + 2 + 3 = 8, these four sides cannot form a trapezoid
(2) If the quadrilateral is longer than the circumference of the triangle, then
X+2+BE+DE=8+BE+CE+3
X=11-2=9
AB=9

RELATED INFORMATIONS

1. In trapezoidal ABCD, AD / / BC, ab = DC, angle ABC = 80 °, e is the point on lumbar CD, connecting be, AC and AE, if angle ACB = 60 ° and angle EBC = 50 ° Find the degree of the triangle EAC
2. As shown in the figure, in the known square ABCD, e is the point on ad, BF bisects ∠ EBC intersects DC at point F
3. It is known that in square ABCD, point E is the point above ad, BF bisects ∠ EBC, intersects DC at point F, and the proof is: be = AE + CF
4. Geometry e is a point of ad on the edge of square ABCD, BF bisects ∠ EBC intersects DC with F, and proves that EB = AE + CF
5. Trapezoid ABCD AB parallel DC ad = BC AE, BF are the height of two waist respectively, and AE, BF intersect with point o Let BAE = x and C = y find out and prove the relation between X and y
6. In the quadrilateral ABCD, ad ≠ BC, ab = DC, E on the side of BC, AE = De, BF = EC (1) Judge the shape of quadrilateral ABCD and prove it (2) If AB = ad = 10, BC = 22, find the area of quadrilateral ABCD
7. It is known that in rectangular ABCD, ab = 2CB, point E is on DC, and AE = AB, then ∠ EBC=___ .
8. As shown in the figure, in rectangular ABCD, e is a point on DC, AE = AB, ab = 2ad, then the degree of ∠ EBC is______ ．
9. Given AB = 2BC of rectangle ABCD, take point E on CD so that AE = EB, then what is the angle EBC equal to
10. Given AB = 2BC of rectangle ABCD, take point E on CD to make AE = EB, then the angle EBC is equal to A 60 B 45 C 30 D 15
11. It is known that e is the midpoint of the waist BC of the trapezoidal ABCD, and ab + CD = ad
12. As shown in the figure, in rectangular ABCD, AF ⊥ BD, perpendicular foot is f, ∠ DAF = 3 ∠ BAF, calculate the degree of ∠ fac
13. As shown in the figure, in square ABCD, ∠ AFD = 65 ° AF and BD intersect at E
14. As shown in the figure, in square ABCD, ∠ DAF = 25 °, AF intersects diagonal BD at e, intersects CD at F, then ∠ bec=______ Degree
15. As shown in the figure, in square ABCD, ∠ DAF = 25 °, AF intersects diagonal BD at e, intersects CD at F, then ∠ bec=______ Degree
16. As shown in the figure, e and F are two points on the diagonal AC and BD of rectangle ABCD, and AE = DF. Prove the congruent triangle COF of triangle BOE
17. As shown in the figure, e and F are two points on the diagonal BD of the quadrilateral ABCD, AE ‖ CF, AE = CF, be = DF
18. As shown in the figure, e and F are two points on the diagonal BD of the quadrilateral ABCD, AE ‖ CF, AE = CF, be = DF
19. As shown in the figure, in the quadrilateral ABCD, ab = CD, BF = De, AE ⊥ BD, CF ⊥ BD, e and f respectively. (1) prove: △ Abe ≌ △ CDF; (2) if AC and BD intersect at point O, prove: Ao = Co
20. Square ABCD, AE + CF = EF, verification ∠ EDF = 45 degree