Area of polygons worksheet

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

1 a.

pentagon with vertices (-4, 10), (2, 7), (5, 9), (8, -5), and (-8, -10).
 
 
 
 
1 b.

pentagon with vertices (-7, 1), (-1, 6), (9, 5), (4, -10), and (-8, -4).
 
 
 
 
2 a.

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

quadrilateral with vertices (-8, 10), (6, 3), (2, -1), and (-3, -8).
 
 
 
 
Page 2

Answer Key

1 a. 

The area is 201 square units.

 
1 b. 

The area is 171 square units.

 
2 a. 

The area is 168.5 square units.

 
2 b. 

The area is 104.5 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