Area of polygons worksheet

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

1 a.

pentagon with vertices (-7, 2), (-2, 3), (7, 4), (1, -3), and (-3, -7).
 
 
 
 
1 b.

quadrilateral with vertices (-6, 4), (1, 4), (7, -7), and (-10, -9).
 
 
 
 
2 a.

hexagon with vertices (-4, 8), (1, 3), (4, 0), (7, -4), (-3, -4), and (-8, -4).
 
 
 
 
2 b.

quadrilateral with vertices (-1, 8), (9, 2), (5, -5), and (-9, -1).
 
 
 
 

Answer Key

1 a. 

The area is 71 square units.

 
1 b. 

The area is 145 square units.

 
2 a. 

The area is 94 square units.

 
2 b. 

The area is 126 square units.

 


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