Area of polygons worksheet

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

1 a.

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

hexagon with vertices (-10, 5), (0, 10), (9, 2), (4, -7), (0, -1), and (-9, -4).
 
 
 
 
2 a.

quadrilateral with vertices (0, 8), (3, 1), (6, -2), and (-3, -8).
 
 
 
 
2 b.

hexagon with vertices (-4, 5), (-1, 2), (6, 4), (10, -3), (2, -4), and (-8, -7).
 
 
 
 
Page 2

Answer Key

1 a. 

The area is 160 square units.

 
1 b. 

The area is 179.5 square units.

 
2 a. 

The area is 57 square units.

 
2 b. 

The area is 112.5 square units.

 


Copying permission: You are free to copy this worksheet to any number of students for their mathematics work. Do not distribute on websites, books, or any such material without permission. Copyright www.HomeschoolMath.net