Answer:
The answer to your question is: 6 units
Step-by-step explanation:
Data
A (-4, 0)
B (-3,1)
C (0,-2)
D (-1,-3)
Formula
d = √((x2 - x1)² + (y2 - y1)²)
Process
dAB = √((x2 - x1)² + (y2 - y1)²) dAC = √((0 + 4)² + (-2 + 0)²)
= √((-3 + 4)² + (1 - 0)²) dAC = √((4)² + (-2)²)
= √((1)² + (1)²) dAC = √(16 + 4)
= √1 + 1 dAC = √20
dAB = √2 = dCD
dAD = √((-1 + 4)² + (-3 - 0)²)
dAD = √((3)² + (-3)²)
dAD = √9 + 9
dAD = √18 = dBC
reactangle's area = base x height = √18 x √2 = √18 x 2 = √36
= 6 units
