Area of polygons worksheet

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

1 a.

hexagon with vertices (2, 5), (6, 7), (9, 5), (10, 4), (5, 4), and (2, 2).
 
 
 
 
1 b.

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

quadrilateral with vertices (3, 9), (10, 7), (10, 4), and (2, 1).
 
 
 
 
2 b.

pentagon with vertices (0, 8), (5, 9), (9, 8), (8, 2), and (3, 0).
 
 
 
 
Page 2

Answer Key

1 a. 

The area is 17.5 square units.

 
1 b. 

The area is 17 square units.

 
2 a. 

The area is 41 square units.

 
2 b. 

The area is 54.5 square units.

 


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