Answer:
16 square units
Explanation:
You want to know the area of rhombus ABCD whose vertices are ...
- D(-5,2)
- C(-1,0)
- B(3,2)
- A(-1,4)
Area formula
The area of a rhombus can be found using the formula ...
A = 1/2ab . . . . . where 'a' and 'b' are the lengths of the diagonals
Application
The diagonals of this rhombus are horizontal and vertical lines, so their lengths are easily found.
Diagonal AC is 4 - 0 = 4 units long.
Diagonal BD is 3 -(-5) = 8 units long.
Then the area is ...
A = 1/2(4)(8) = 16 . . . . square units
The area of rhombus ABCD is 16 square units.