Answer:
[tex]Area = 16[/tex]
Step-by-step explanation:
Given
[tex]A = (2,4)[/tex]
[tex]B = (4,0)[/tex]
[tex]D = (-4,0)[/tex]
Required
The area of the plot
The given coordinates show a triangle; and the area is calculated as:
[tex]Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|[/tex]
[tex]Area = \frac{1}{2}|2*0 - 4*4 + 4*0 - -4*0 + -4*4 - 2*0|[/tex]
[tex]Area = \frac{1}{2}|-16 + 0 -16|[/tex]
[tex]Area = \frac{1}{2}|-32|[/tex]
[tex]Area = \frac{1}{2}*32[/tex]
[tex]Area = 16[/tex]
