Area of polygons worksheet

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

1 a.

hexagon with vertices (-9, 2), (-3, 10), (8, 1), (3, 0), (-1, -7), and (-6, -10).
 
 
 
 
1 b.

hexagon with vertices (-4, 8), (3, 10), (5, 7), (9, -2), (0, -3), and (-5, -8).
 
 
 
 
2 a.

pentagon with vertices (-4, 3), (2, 7), (8, 10), (4, -9), and (-1, -9).
 
 
 
 
2 b.

hexagon with vertices (-8, 9), (2, 6), (7, 5), (9, -3), (-2, -6), and (-7, -3).
 
 
 
 
Page 2

Answer Key

1 a. 

The area is 162.5 square units.

 
1 b. 

The area is 140 square units.

 
2 a. 

The area is 133 square units.

 
2 b. 

The area is 173.5 square units.

 


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