SOLUTION: Find the area of a parallelogram with vertices (0, 0), (3, 3), (4, 6), and (7, 9)

Question 1059680: Find the area of a parallelogram with vertices (0, 0), (3, 3), (4, 6), and (7, 9)
Found 2 solutions by CubeyThePenguin, ikleyn:
Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
Shoelace Theorem:

0.....0
3.....3
4.....6
7.....9
0.....0

left column to right column: (0*3) + (3*6) + (4*9) + (7*0) = 54
right column to left column: (0*3) + (3*4) + (6*7) + (9*0) = 54

area = 1/2 * |54 - 54| = 0
Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!
.

It is clear from the first glance that the answer/(the solution) by @Penguin is not correct.

It is seen from the fact that the four given points are not collinear.

So, the solution by @Penguin is wrong.

Where the mistake is ?

--- The mistake is in incorrect using the Shoelace theorem.

To apply this formula, the vertices must be listen in the clockwise (or anti-clockwise) order.

In this case, @Penguin failed to apply the formula correctly - it is the mistake' source.

RELATED QUESTIONS
Find the area of a parallelogram with vertices (0, 0), (3, 3), (4, 6), and (7, 9) using... (answered by Edwin McCravy,ikleyn)
Find the area of the parallelogram with vertices A(2, -3), B(7, -3), C(9, 2), D(4,... (answered by ikleyn,MathTherapy)
1. A parallelogram has the vertices (0, 3), (3, 0), (0, -3) and (-3, 0). Determine what... (answered by racoon)
Calculate the area of the triangle with the following vertices: 6. (-3, -3), (0, -3), (answered by Alan3354)
In the diagram, ABCD is a parallelogram with vertices A(2, 0), B(7, 0), C(10, 3), and... (answered by checkley77)
Find the area of the triangle with vertices of A(0, 0), B(3, 4), and C(4,... (answered by Alan3354)
Find the area of the triangle with vertices (0, 0), (5, 3) and (2,... (answered by Fombitz)
Find the standard form of the equation of the hyperbola with the given characteristics (answered by lwsshak3)
Three vertices of a parallelogram are (1,3) (0,0) and (4,0). Find the 3 other possible... (answered by ikleyn,Solver92311)