Area of polygons worksheet

Find the area of the shapes when their vertices are given.

1 a.

quadrilateral with vertices (-2, 1), (10, 8), (1, 0), and (-10, -2).
 
 
 
 
1 b.

pentagon with vertices (-5, 0), (1, 4), (8, 5), (9, -8), and (-3, -5).
 
 
 
 
2 a.

hexagon with vertices (-10, 4), (-1, 10), (6, 3), (9, 0), (1, -6), and (-9, -6).
 
 
 
 
2 b.

hexagon with vertices (-6, 5), (0, 7), (5, 0), (7, -1), (-1, -1), and (-6, -4).
 
 
 
 
Page 2

Answer Key

1 a. 

The area is 25 square units.

 
1 b. 

The area is 125 square units.

 
2 a. 

The area is 198 square units.

 
2 b. 

The area is 73 square units.

 


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