Area of polygons worksheet

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

1 a.

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

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

quadrilateral with vertices (-7, 0), (10, 5), (7, -5), and (-10, -7).
 
 
 
 
2 b.

pentagon with vertices (-10, 9), (1, 7), (5, 7), (3, -4), and (-4, -5).
 
 
 
 
Page 2

Answer Key

1 a. 

The area is 124 square units.

 
1 b. 

The area is 90 square units.

 
2 a. 

The area is 134 square units.

 
2 b. 

The area is 132.5 square units.

 


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