Area of polygons worksheet

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

1 a.

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

hexagon with vertices (2, 7), (4, 10), (9, 10), (9, 0), (5, 0), and (2, 1).
 
 
 
 
2 a.

pentagon with vertices (3, 9), (6, 10), (7, 9), (9, 4), and (2, 0).
 
 
 
 
2 b.

pentagon with vertices (1, 9), (4, 10), (10, 10), (8, 0), and (4, 4).
 
 
 
 
Page 2

Answer Key

1 a. 

The area is 47 square units.

 
1 b. 

The area is 65.5 square units.

 
2 a. 

The area is 41.5 square units.

 
2 b. 

The area is 51 square units.

 


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