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Multivariable CalculusMediumSurface Integrals, Stokes & Divergence

Surface Integrals, Stokes & Divergence · Medium problem

Green's theorem gives the area of a region as 12∮C(x dy−y dx)\dfrac{1}{2}\oint_C (x\,dy - y\,dx). Use it (or the equivalent shoelace sum) to find the area of the quadrilateral with vertices (0,0),(4,0),(3,5),(0,1)(0, 0), (4, 0), (3, 5), (0, 1) taken in order. Express your answer as a common fraction if needed.