Area of polygons worksheet

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

1 a.

hexagon with vertices (-6, 4), (-3, 7), (5, 1), (3, -4), (-1, -4), and (-10, -2).
 
 
 
 
1 b.

quadrilateral with vertices (-5, 4), (1, 0), (6, -8), and (-3, -2).
 
 
 
 
2 a.

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

hexagon with vertices (-7, 6), (-3, 7), (6, 10), (10, -3), (-1, -8), and (-5, -6).
 
 
 
 
Page 2

Answer Key

1 a. 

The area is 98.5 square units.

 
1 b. 

The area is 35 square units.

 
2 a. 

The area is 162 square units.

 
2 b. 

The area is 205 square units.

 


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