In ladder ABCD, ad ‖ BC.AC Intersection with BD at point E, if the area of △ AED is a, △ BEC area B, calculate the area of trapezoid ABCD

∵AD∥BC,
∴△ADE∽△CBE,
∴S△ADE/S△CBE=(AE/CE)²=a/b,
‖ AE / CE = radical a / radical B,
Ψ = s △ CDE = s △ Abe = radical (AB)
S trapezoid = a + B + 2 radical (AB)

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