The area of a closed traverse ABCD is computed from coordinates (N, E) using the formula:
Choose the correct answer
2A = sum of (N_i x E_(i+1) - N_(i+1) x E_i) for consecutive vertices
A = N x E for each point
2A = sum of all N values x sum of all E values
A = perimeter x width
Correct Answer
A. 2A = sum of (N_i x E_(i+1) - N_(i+1) x E_i) for consecutive vertices
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Coordinate (cross-multiplication) method (shoelace formula): 2A = |(N1 x E2 - N2 x E1) + (N2 x E3 - N3 x E2) + ... + (Nn x E1 - N1 x En)|. This gives the enclosed area directly from traverse coordinates. Also called the Gauss area formula.
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