One trapezium

One trapezium has AB=24M, BC=36M, CD=80M, DA=80M long sides. Find the area.

Correct result:

A =  1633.8636 m2

Solution:

a=24 m b=36 m c=80 m d=80 m  x=c−a=80−24=56 m  s=x+b+d2=56+36+802=86 m  S1=s⋅ (s−x)⋅ (s−b)⋅ (s−d)=86⋅ (86−56)⋅ (86−36)⋅ (86−80)=60 215 m2≐879.7727 m2  S1=xh/2  h=2⋅ S1/x=2⋅ 879.7727/56≐31.4205 m  A=a+c2⋅ h=24+802⋅ 31.4205=1633.8636 m2

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