The calculated area of the rhombus ABCD is 36 square units
How to determine the area of the rhombus ABCD
From the question, we have the following parameters that can be used in our computation:
The rhombus
Where, we have the following coordinates
A(-1, 0), B(5, -3), C(-1, -6) and D(-7, -3)
The area of rhombus is calculated using
Area = Product of diagonals/2
Where
The diagonals are AC and BD
The diagonals are calculated using
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
So, we have
AC = √[(-1 + 1)² + (0 + 6)²] = 6
BD = √[(5 + 7)² + (3 - 3)²] = 12
So, we have
Area = 6 * 12/2
Area = 36
Hence, the area of the rhombus ABCD is 36 square units