Four sides of trapezoid

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

Correct result:

S =  1414.5937

Solution:

a=40.5 b=42.5 c=52.8 d=35.0  x=c−a=52.8−40.5=12310=12.3 s=(b+d+x)/2=(42.5+35+12.3)/2=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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For Basic calculations in analytic geometry is a helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.
See also our trigonometric triangle calculator.

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