To start: Draw a sketch!

(1, 2) and 7,6)

(0,10) and (8,-2) are the opposite vertices of the rhombus.

If the diagonals are perpendicular then the product of the slopes must be (-1)

Check if the midpoint in both cases is the same.

The area of the rhombus is calculated by:

The distance between 2 points and is calculated by: