Area of polygons worksheet

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

1 a.

pentagon with vertices (1, 10), (5, 8), (10, 6), (9, 2), and (3, 3).
 
 
 
 
1 b.

quadrilateral with vertices (0, 8), (8, 5), (7, 2), and (2, 0).
 
 
 
 
2 a.

quadrilateral with vertices (1, 8), (6, 5), (8, 5), and (3, 4).
 
 
 
 
2 b.

hexagon with vertices (0, 5), (6, 7), (8, 7), (8, 0), (3, 4), and (2, 4).
 
 
 
 
Page 2

Answer Key

1 a. 

The area is 39 square units.

 
1 b. 

The area is 35.5 square units.

 
2 a. 

The area is 8 square units.

 
2 b. 

The area is 27 square units.

 


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