Area of polygons worksheet

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

1 a.

hexagon with vertices (3, 8), (5, 10), (8, 8), (6, 3), (5, 3), and (1, 2).
 
 
 
 
1 b.

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

pentagon with vertices (2, 9), (5, 10), (10, 5), (5, 3), and (1, 1).
 
 
 
 
2 b.

quadrilateral with vertices (3, 6), (8, 5), (9, 3), and (4, 3).
 
 
 
 
Page 2

Answer Key

1 a. 

The area is 31 square units.

 
1 b. 

The area is 15.5 square units.

 
2 a. 

The area is 43 square units.

 
2 b. 

The area is 12 square units.

 


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