Area of polygons worksheet

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

1 a.

hexagon with vertices (1, 10), (6, 7), (8, 5), (7, 2), (4, 1), and (0, 2).
 
 
 
 
1 b.

pentagon with vertices (2, 8), (6, 7), (7, 6), (7, 4), and (3, 1).
 
 
 
 
2 a.

pentagon with vertices (1, 6), (6, 10), (10, 5), (7, 3), and (1, 0).
 
 
 
 
2 b.

quadrilateral with vertices (1, 9), (9, 6), (6, 5), and (1, 0).
 
 
 
 
Page 2

Answer Key

1 a. 

The area is 46.5 square units.

 
1 b. 

The area is 22 square units.

 
2 a. 

The area is 49 square units.

 
2 b. 

The area is 31 square units.

 


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