Area of polygons worksheet

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

1 a.

hexagon with vertices (3, 9), (6, 8), (10, 5), (8, 3), (3, 3), and (1, 2).
 
 
 
 
1 b.

hexagon with vertices (0, 7), (5, 9), (9, 7), (6, 0), (4, 3), and (1, 0).
 
 
 
 
2 a.

hexagon with vertices (3, 9), (4, 10), (9, 10), (7, 4), (4, 3), and (0, 2).
 
 
 
 
2 b.

quadrilateral with vertices (1, 9), (7, 5), (7, 4), and (4, 0).
 
 
 
 
Page 2

Answer Key

1 a. 

The area is 34.5 square units.

 
1 b. 

The area is 50.5 square units.

 
2 a. 

The area is 41.5 square units.

 
2 b. 

The area is 22.5 square units.

 


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