Area of polygons worksheet

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

1 a.

pentagon with vertices (2, 8), (6, 7), (10, 5), (7, 3), and (4, 0).
 
 
 
 
1 b.

hexagon with vertices (3, 7), (4, 8), (8, 6), (8, 0), (3, 2), and (0, 3).
 
 
 
 
2 a.

quadrilateral with vertices (3, 7), (10, 5), (9, 5), and (2, 3).
 
 
 
 
2 b.

hexagon with vertices (3, 8), (5, 10), (8, 5), (6, 0), (5, 2), and (1, 3).
 
 
 
 
Page 2

Answer Key

1 a. 

The area is 29.5 square units.

 
1 b. 

The area is 38 square units.

 
2 a. 

The area is 14 square units.

 
2 b. 

The area is 35.5 square units.

 


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