Area of polygons worksheet

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

1 a.

hexagon with vertices (-6, 0), (2, 7), (9, 6), (10, -4), (-3, -6), and (-9, -2).
 
 
 
 
1 b.

hexagon with vertices (-9, 5), (1, 3), (9, 5), (7, -6), (1, -6), and (-7, -10).
 
 
 
 
2 a.

pentagon with vertices (-7, 9), (3, 2), (9, 9), (5, -2), and (-5, -1).
 
 
 
 
2 b.

hexagon with vertices (-4, 4), (-2, 8), (8, 1), (3, -1), (1, -1), and (-7, -7).
 
 
 
 
Page 2

Answer Key

1 a. 

The area is 160.5 square units.

 
1 b. 

The area is 178 square units.

 
2 a. 

The area is 81 square units.

 
2 b. 

The area is 86.5 square units.

 


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