In trapezoidal ABCD, if ab ‖ CD, point E is the midpoint of AD and s △ BEC = 2, then the area of trapezoidal ABCD is______ .

In trapezoidal ABCD, if ab ‖ CD, point E is the midpoint of AD and s △ BEC = 2, then the area of trapezoidal ABCD is______ .

The extension line of be and CD intersects at F. because ab ∥ CD, so ∥ a = ∥ 1, and ∥ 2 = ∥ 3, AE = De, ≌ AEB ≌ def, ≌ s △ AEB = s △ def, be = EF. ∥ s trapezoid ABCD = s quadrilateral edcb + s △ AEB = s quadrilateral ABCD + s △ def = s △ BFC = 2S △ BEC = 2 × 2 = 4, so the answer is: 4