Area of polygons worksheet

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

1 a.

hexagon with vertices (-9, 0), (1, 8), (8, 7), (5, 0), (2, -6), and (-7, -10).
 
 
 
 
1 b.

hexagon with vertices (-8, 7), (-3, 8), (6, 0), (7, -4), (0, -7), and (-8, -8).
 
 
 
 
2 a.

pentagon with vertices (-8, 2), (1, 5), (4, 2), (9, -9), and (-4, -2).
 
 
 
 
2 b.

quadrilateral with vertices (-4, 4), (5, 1), (10, -8), and (-9, -3).
 
 
 
 
Page 2

Answer Key

1 a. 

The area is 173 square units.

 
1 b. 

The area is 170 square units.

 
2 a. 

The area is 96 square units.

 
2 b. 

The area is 112 square units.

 


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