First, graph the rhombus:
Area of a rhombus = Product of diagonals / 2
Find the length of the diagonals:
Distance between points:
[tex]\sqrt[\placeholder{⬚}]{(x2-x1)^2+(y2-y1)2^}[/tex]
Diagonal AC
[tex]AC=\sqrt[\placeholder{⬚}]{(6-(-4))^2+(8-(-2))^2}[/tex]
AC= 10√2
Diagonal BD
[tex]BD=\sqrt[\placeholder{⬚}]{(4-(-2))^2+(0-6)^{^2}}[/tex]
BD=6√2
Area= AC x BD / 2
Area = [(10√2) x (6√2)]/2
Area = 60
