Area of polygons worksheet

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

1 a.

hexagon with vertices (-4, 9), (1, 3), (10, 7), (6, -5), (-4, -3), and (-7, -3).
 
 
1 b.

hexagon with vertices (-4, 2), (-2, 7), (6, 10), (8, -8), (2, -10), and (-10, -8).
 
 
2 a.

pentagon with vertices (-9, 4), (-1, 9), (10, 3), (10, -1), and (-8, -4).
 
 
2 b.

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

Answer Key

1 a. 

The area is 129 square units.

 
1 b. 

The area is 223 square units.

 
2 a. 

The area is 163 square units.

 
2 b. 

The area is 146 square units.

 


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