Trapezoid and diagonals

Find the area of a trapezoid with bases a = 24 cm, c = 16 cm, and diagonals u = 22 cm, v = 26 cm.

Correct answer:

S =  264 cm2

Step-by-step explanation:

a=24 cm c=16 cm u=22 cm v=26 cm  w=a+c=24+16=40 cm  Δ u v w s=2u+v+w=222+26+40=44 cm S1=s (su) (sv) (sw)=44 (4422) (4426) (4440)=264 cm2  S1 = 2w h  h=2 S1/w=2 264/40=566=13.2 cm  S=2a+c h=224+16 566=264  S=S1=264 cm2

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