Area of polygons worksheet

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

1 a.

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

hexagon with vertices (-7, 10), (2, 5), (8, 9), (10, -8), (-1, -1), and (-5, -4).
 
 
2 a.

hexagon with vertices (-6, 9), (2, 6), (9, 6), (8, -1), (-4, -1), and (-10, -10).
 
 
2 b.

hexagon with vertices (-8, 2), (-3, 3), (7, 7), (3, -1), (1, -9), and (-8, -3).
 
 
Page 2

Answer Key

1 a. 

The area is 116 square units.

 
1 b. 

The area is 164 square units.

 
2 a. 

The area is 142.5 square units.

 
2 b. 

The area is 114.5 square units.

 


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