Area of polygons worksheet

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

1 a.

quadrilateral with vertices (-5, 9), (6, 0), (1, -2), and (-4, -3).
 
 
 
 
1 b.

pentagon with vertices (-10, 10), (2, 7), (7, 8), (6, -2), and (-10, -10).
 
 
 
 
2 a.

hexagon with vertices (-7, 8), (1, 4), (10, 7), (8, -10), (-3, -9), and (-6, -2).
 
 
 
 
2 b.

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

Answer Key

1 a. 

The area is 64 square units.

 
1 b. 

The area is 232.5 square units.

 
2 a. 

The area is 218.5 square units.

 
2 b. 

The area is 159.5 square units.

 


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