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

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

The condition BF = EC in the title should be changed to be = EC for (1) the quadrilateral ABCD is an isosceles trapezoid. It is proved that the vertical line through a and D points to BC is AF vertical BC DG vertical BC. From the title, AE = De, be = EC, ab = DC, we can prove the congruent triangle, so we can get AF = DG and AF vertical BC DG vertical BC