The area equation for the given rhombus is:
A = (x^2 + 2x - 8) m^2
So the correct option is the second one.
How to get the area of the rhombus?
For a rhombus of diagonals d₁ and d₂, the area is given by:
A = (d₁*d₂)/2
In this case, we have:
d₁ = (2x + 8)m
d₂ = (x - 2)m
Then the area equation is:
A = (1/2)*(2x + 8)*(x - 2) m^2
A = (x + 4)*(x - 2) m^2
A = (x^2 - 2x + 4x - 8) m^2
A = (x^2 + 2x - 8) m^2
So the correct option is the second one.
If you want to learn more about areas, you can read:
https://brainly.com/question/24487155
