Area of polygons worksheet

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

1 a.

hexagon with vertices (-7, 0), (-1, 7), (10, 5), (10, -7), (-3, -1), and (-6, -4).
 
 
1 b.

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

pentagon with vertices (-4, 8), (2, 9), (5, 1), (4, -8), and (-7, -4).
 
 
2 b.

pentagon with vertices (-6, 0), (3, 5), (8, 6), (2, -1), and (-9, -5).
 
 
Page 2

Answer Key

1 a. 

The area is 148.5 square units.

 
1 b. 

The area is 86.5 square units.

 
2 a. 

The area is 141.5 square units.

 
2 b. 

The area is 60.5 square units.

 


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