Area of polygons worksheet

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

1 a.

pentagon with vertices (-4, 8), (-2, 6), (4, 5), (10, -2), and (-7, -7).
 
 
 
 
1 b.

hexagon with vertices (-8, 1), (0, 10), (7, 9), (5, -8), (2, -10), and (-9, -10).
 
 
 
 
2 a.

pentagon with vertices (-10, 0), (-2, 8), (9, 2), (0, -9), and (-7, -2).
 
 
 
 
2 b.

pentagon with vertices (-6, 8), (-2, 10), (8, 3), (5, -3), and (-8, -8).
 
 
 
 
Page 2

Answer Key

1 a. 

The area is 134 square units.

 
1 b. 

The area is 242 square units.

 
2 a. 

The area is 160 square units.

 
2 b. 

The area is 172.5 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