Area of polygons worksheet

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

1 a.

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

quadrilateral with vertices (-2, 5), (4, 1), (4, -3), and (-3, -1).
 
 
2 a.

pentagon with vertices (-9, 10), (1, 8), (9, 1), (1, -5), and (-8, -1).
 
 
2 b.

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

Answer Key

1 a. 

The area is 165.5 square units.

 
1 b. 

The area is 34 square units.

 
2 a. 

The area is 164.5 square units.

 
2 b. 

The area is 90 square units.

 


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