Answer:
The answer to your question is Area = 40 u²
Step-by-step explanation:
Data
A = (-1, -4)
B = (-1, 6)
C = (3, 6)
D = (3, - 4)
Process
1.- Plot the points to determine the base and the height (see the graph below)
2.- Calculate the distance between A and B and A and D
dAB = [tex]\sqrt{(-1 + 1)^{2} (-4 - 6)^{2}}[/tex]
dAB = [tex]\sqrt{0 - (10)^{2}}[/tex]
dAB = [tex]\sqrt{100}[/tex]
dAB = 10
dAD = [tex]\sqrt{(-1 - 3)^{2} + (-4 + 4)^{2}}[/tex]
dAD = [tex]\sqrt{(-4)^{2} + (0)^{2}}[/tex]
dAD = [tex]\sqrt{16}[/tex]
dAD = 4
3.- Calculate the area
Area = base x height
Area = 4 x 10
Area = 40 u²
