Four sides of trapezoid

Trapezoid is given by length of four sides: 40.5 42.5 52.8 35.0. Calculate its area.

Correct answer:

S =  1414.5937

Step-by-step explanation:

a=40.5 b=42.5 c=52.8 d=35.0  x=c−a=52.8−40.5=12310=12310=12.3 s=(b+d+x)/2=(42.5+35+12.3)/2=44910=44910=44.9 S1=s⋅ (s−b)⋅ (s−d)⋅ (s−x)=44.9⋅ (44.9−42.5)⋅ (44.9−35)⋅ (44.9−12.3)≐186.4898 h=2⋅ S1/x=2⋅ 186.4898/12.3≐30.3236 S2=a⋅ h=40.5⋅ 30.3236≐1228.1039 S=S1+S2=186.4898+1228.1039=1414.5937

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