what is the area of a rectangle with vertices at (-4, 0), (-3,1), (0,-2), and (-1,-3) enter your answer in the box. do not round

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