SOLUTION: find the area of the pentagon with vertices (3,0) (1,7) (5,3) (-4,2) (-3,-2)

Algebra.Com
Question 966654: find the area of the pentagon with vertices (3,0) (1,7) (5,3) (-4,2) (-3,-2)
Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!
find the area of the pentagon with vertices (3,0) (1,7) (5,3) (-4,2) (-3,-2)
Plot the points so that we will know their counterclockwise order:



1. List the coordinates in an array, repeating the first one
at the bottom of the list.

2. Add all the diagonal products that go from "northwest to southeast",
and subtract all the diagonal products that go from "northeast to 
southwest", like this:


 
Add all the numbers on the right:

30+14+6+9+32= 91

Divide by 2:

Answer: Area = 45.5

Edwin

RELATED QUESTIONS

Find the area of the pentagon ABCDE with vertices A = (1, 2), B = (0, 0), C = (1, 4), D... (answered by Alan3354)
Find the area of the pentagon ABCDE with vertices A = (1, 2), B = (0, 0), C = (1, 4), D... (answered by Alan3354)
Graph the image of each figure under a translation by the given vector. pentagon DEFGH (answered by ikleyn)
Find the area of the triangle with vertices (0, 0), (5, 3) and (2,... (answered by Fombitz)
Find the area of quadrilateral formed with vertices... (answered by Alan3354)
Find the area of a quadrilateral having the points (-3, 4), (-2, -1), (4, 4) and (0, 5)... (answered by Alan3354,ikleyn)
Find the area of the triangle whose vertices are (3; 4) ; (-2; 5) ;... (answered by Fombitz)
Calculate the area of the triangle with the following vertices: 6. (-3, -3), (0, -3), (answered by Alan3354)
Find the area of the parallelogram with vertices A(2, -3), B(7, -3), C(9, 2), D(4,... (answered by ikleyn,MathTherapy)