Answer:
The answer to your question is 74 u²
Step-by-step explanation:
Process
1.- Find the 4 vertices
A (-2, 8)
B (0, -4)
C (4, 9)
D (6, -3)
2.- Find the length of the base and the height
[tex]d = \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]
Distance AB = \sqrt{(0 + 2)^{2} + (-4 - 8)^{2} }[/tex]
dAB = [tex]\sqrt{4 + 144}[/tex]
dAB = [tex]\sqrt{148}[/tex]
Distance BD = \sqrt{(6 - 0)^{2} + (-3 + 4)^{2} }[/tex]
dBD = [tex]\sqrt{36 + 1}[/tex]
dBD = [tex]\sqrt{37}[/tex]
3.- Find the area
Area = base x height
Area = [tex]\sqrt{148} x \sqrt{37}[/tex]
Area = [tex]\sqrt{5476}[/tex]
Area = 74 u²
