Area of polygons worksheet

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

1 a.

hexagon with vertices (-6, 4), (-1, 8), (8, 1), (7, -3), (-4, -4), and (-10, -2).
 
 
1 b.

hexagon with vertices (-6, 4), (-1, 7), (8, 4), (9, -4), (1, -2), and (-8, -3).
 
 
2 a.

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

pentagon with vertices (-4, 1), (0, 6), (5, 3), (4, -10), and (-1, -2).
 
 
Page 2

Answer Key

1 a. 

The area is 132 square units.

 
1 b. 

The area is 124.5 square units.

 
2 a. 

The area is 148 square units.

 
2 b. 

The area is 71.5 square units.

 


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