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

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