Area of polygons worksheet

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

1 a.

pentagon with vertices (-10, 5), (-3, 9), (10, 2), (2, -5), and (-5, -10).
 
 
1 b.

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

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

quadrilateral with vertices (-9, 0), (4, 2), (1, 0), and (-4, -9).
 
 
Page 2

Answer Key

1 a. 

The area is 197.5 square units.

 
1 b. 

The area is 104 square units.

 
2 a. 

The area is 163.5 square units.

 
2 b. 

The area is 55 square units.

 


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