Area of polygons worksheet

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

1 a.

hexagon with vertices (-6, 6), (2, 4), (9, 7), (8, -2), (-1, -3), and (-7, -2).
 
 
 
 
1 b.

quadrilateral with vertices (-9, 9), (9, 7), (1, -9), and (-1, -8).
 
 
 
 
2 a.

pentagon with vertices (-7, 3), (2, 9), (10, 0), (6, 0), and (-1, -2).
 
 
 
 
2 b.

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

Answer Key

1 a. 

The area is 115.5 square units.

 
1 b. 

The area is 165 square units.

 
2 a. 

The area is 94 square units.

 
2 b. 

The area is 185.5 square units.

 


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