Area of polygons worksheet

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

1 a.

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

hexagon with vertices (0, 9), (4, 8), (8, 8), (9, 5), (5, 4), and (0, 1).
 
 
 
 
2 a.

quadrilateral with vertices (3, 6), (7, 5), (9, 0), and (4, 2).
 
 
 
 
2 b.

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

Answer Key

1 a. 

The area is 16.5 square units.

 
1 b. 

The area is 42 square units.

 
2 a. 

The area is 18 square units.

 
2 b. 

The area is 40.5 square units.

 


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