Area of polygons worksheet

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

1 a.

hexagon with vertices (-4, 1), (-2, 9), (6, 10), (3, -3), (-4, -2), and (-9, -4).
 
 
 
 
1 b.

quadrilateral with vertices (-7, 1), (6, 1), (6, -2), and (-2, -5).
 
 
 
 
2 a.

pentagon with vertices (-8, 6), (3, 5), (4, 5), (5, 0), and (-7, -6).
 
 
 
 
2 b.

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

Answer Key

1 a. 

The area is 100.5 square units.

 
1 b. 

The area is 51 square units.

 
2 a. 

The area is 104 square units.

 
2 b. 

The area is 168 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