Area of polygons worksheet

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

1 a.

pentagon with vertices (-9, 1), (1, 6), (5, 9), (4, 0), and (-1, -5).
 
 
 
 
1 b.

quadrilateral with vertices (-10, 9), (8, 4), (1, -6), and (-2, -10).
 
 
 
 
2 a.

hexagon with vertices (-5, 1), (-3, 6), (8, 6), (10, -7), (-2, -1), and (-7, -1).
 
 
 
 
2 b.

hexagon with vertices (-10, 1), (0, 6), (8, 4), (6, -4), (-4, -2), and (-5, -2).
 
 
 
 
Page 2

Answer Key

1 a. 

The area is 89 square units.

 
1 b. 

The area is 152 square units.

 
2 a. 

The area is 125 square units.

 
2 b. 

The area is 109.5 square units.

 


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