Determination of Area of General Quadrilateral with Four Sides and No Angles Specified

ANAND M. SHARAN

Area of a quadrilateral, Minimization of residue of calculated and given length of quadrilateral, Heron’s formula of a triangle.

In this work, the area of a quadrilateral is determined where the lengths of all the four sides are given but none of the angles are given. Such problems occur in the area of mechanism design, and surveying, a part of civil engineering.

This quadrilateral cannot be plotted to any scale and poses a challenging problem. The problem has been solved by setting up of an objective function by assuming two angles of the quadrilateral as design variables. By minimizing the square of the difference between calculated length of one side minus the given length - the solution is obtained.