Area of polygons worksheet

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

1 a.

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

quadrilateral with vertices (0, 8), (8, 5), (5, 2), and (4, 3).
 
 
 
 
2 a.

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

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

Answer Key

1 a. 

The area is 38.5 square units.

 
1 b. 

The area is 17 square units.

 
2 a. 

The area is 10.5 square units.

 
2 b. 

The area is 28 square units.

 


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