Area of polygons worksheet

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

1 a.

hexagon with vertices (-8, 3), (1, 2), (4, 10), (8, -5), (0, -5), and (-7, -2).
 
 
 
 
1 b.

pentagon with vertices (-8, 3), (-2, 8), (5, 9), (9, -8), and (-5, -7).
 
 
 
 
2 a.

quadrilateral with vertices (-1, 10), (3, 10), (5, -6), and (-10, -6).
 
 
 
 
2 b.

hexagon with vertices (-4, 3), (-2, 4), (8, 3), (3, -3), (-3, -5), and (-8, -10).
 
 
 
 
Page 2

Answer Key

1 a. 

The area is 114.5 square units.

 
1 b. 

The area is 205.5 square units.

 
2 a. 

The area is 152 square units.

 
2 b. 

The area is 89.5 square units.

 


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