Area of polygons worksheet

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

1 a.

quadrilateral with vertices (-3, 5), (3, 1), (10, -9), and (-6, -8).
 
 
 
 
1 b.

triangle with vertices (5, 10), (10, 4), and (-6, -10).
 
 
 
 
2 a.

quadrilateral with vertices (-7, 6), (1, 5), (7, -8), and (-7, -10).
 
 
 
 
2 b.

quadrilateral with vertices (-5, 7), (1, 1), (6, -10), and (-7, -9).
 
 
 
 
Page 2

Answer Key

1 a. 

The area is 121.5 square units.

 
1 b. 

The area is 83 square units.

 
2 a. 

The area is 161 square units.

 
2 b. 

The area is 123 square units.

 


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