Area of polygons worksheet

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

1 a.

pentagon with vertices (-9, 8), (2, 4), (7, 10), (7, -4), and (-9, -9).
 
 
 
 
1 b.

quadrilateral with vertices (-2, 5), (8, 4), (1, -5), and (-2, -5).
 
 
 
 
2 a.

hexagon with vertices (-4, 9), (0, 6), (9, 7), (8, -7), (-1, -1), and (-9, -10).
 
 
 
 
2 b.

hexagon with vertices (-7, 3), (2, 4), (8, 4), (5, 0), (-4, -6), and (-8, -9).
 
 
 
 
Page 2

Answer Key

1 a. 

The area is 205 square units.

 
1 b. 

The area is 63.5 square units.

 
2 a. 

The area is 166 square units.

 
2 b. 

The area is 103.5 square units.

 


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