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If BE || CD, and BC = AB = 3, AE = 4 and CD = 10, what is the area of trapezoid BEDC? a. 12 b. 18 c. 24 d. 30 e. 48

Very nice PS.

look, use similarities of traingle rule.
AB/AC=AE/AD
3/6=4/(4+ED)
ED=4

AC=6, AD=8, CD=10 these are attributes of a right traingle
now we know that ACD is a right traingle thus ABE is a right traingle as well as the agne A is right and BE is parallel to CD, also 3 and 4 leads ton BE = 5

now find the Area of ACD and subtranct the Area of ABE
Sacd=6*8/2=24
Sabe=3*4/2=6