



 
First you often need to find the shape. Exactly how depends on what Usually next you divide it into triangles and using trig triangle area = a x b x sin(C)/2 where a,b are the lengths of two edges, C the angle between them. or vector cross product triangle area = 1/2 (XY) x (ZY). *If you know it's a rectangle (or any parallelogram) use the formula Area = Base x Height. If you know it's a trapezoid, the area is the average of the parallel edges times the distance between them. *If you are given integer coordinates and you can sketch it accurately on a grid you can count cells, or use Pick's Theorem, which says that the area of any grid polygon is # of grid points inside Good Hunting!  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 