Area of polygons worksheet

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

1 a.

hexagon with vertices (2, 5), (4, 7), (8, 8), (7, 4), (5, 2), and (2, 3).
 
 
 
 
1 b.

quadrilateral with vertices (3, 10), (8, 8), (8, 3), and (4, 2).
 
 
 
 
2 a.

hexagon with vertices (1, 8), (4, 9), (7, 8), (10, 0), (5, 3), and (2, 4).
 
 
 
 
2 b.

pentagon with vertices (2, 8), (4, 7), (10, 6), (6, 1), and (1, 3).
 
 
 
 
Page 2

Answer Key

1 a. 

The area is 22.5 square units.

 
1 b. 

The area is 29 square units.

 
2 a. 

The area is 39 square units.

 
2 b. 

The area is 35.5 square units.

 


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