Area of polygons worksheet

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

1 a.

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

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

hexagon with vertices (3, 5), (6, 9), (7, 9), (7, 2), (5, 0), and (0, 1).
 
 
 
 
2 b.

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

Answer Key

1 a. 

The area is 29 square units.

 
1 b. 

The area is 49.5 square units.

 
2 a. 

The area is 34.5 square units.

 
2 b. 

The area is 30 square units.

 


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