Given that the points , , , and are the vertices of the rhombus , find its area in area units.
The area of a rhombus is equal to half the product of its diagonals.
We know that for any 2 points , , the length of the straight line joining and can be found using
We need to find the lengths of the diagonals and .
Substituting values from the coordinates of and gives
Now find the length of in the same way by substituting values from the coordinates of and .
To find the area, we substitute the lengths of and into the area formula.