Area of polygons worksheet

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

1 a.

pentagon with vertices (-10, 4), (2, 10), (5, 5), (4, -1), and (-7, -3).
 
 
 
 
1 b.

pentagon with vertices (-9, 3), (0, 5), (10, 0), (3, -10), and (-1, -1).
 
 
 
 
2 a.

quadrilateral with vertices (-4, 4), (3, 10), (0, -8), and (-7, -10).
 
 
 
 
2 b.

hexagon with vertices (-6, 3), (2, 4), (9, 8), (9, -5), (-4, -7), and (-6, -4).
 
 
 
 
Page 2

Answer Key

1 a. 

The area is 125 square units.

 
1 b. 

The area is 110 square units.

 
2 a. 

The area is 100 square units.

 
2 b. 

The area is 159 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