Area of polygons worksheet

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

1 a.

triangle with vertices (5, 4), (10, 6), and (1, 7).
 
 
 
 
1 b.

triangle with vertices (3, 7), (2, 5), and (3, 9).
 
 
 
 
2 a.

quadrilateral with vertices (4, 7), (9, 10), (9, 1), and (2, 4).
 
 
 
 
2 b.

quadrilateral with vertices (1, 7), (8, 9), (8, 4), and (1, 3).
 
 
 
 
Page 2

Answer Key

1 a. 

The area is 11.5 square units.

 
1 b. 

The area is 1 square units.

 
2 a. 

The area is 36 square units.

 
2 b. 

The area is 31.5 square units.

 


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