Using the distance formula, the area of the rectangle is: 16 units².
Area of a rectangle = (length)(width).
Given the vertices:
Area = (AB)(BC)
Apply the distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], to find AB and BC:
AB = √[(1−(−3))² + (3−(−1))²]
AB = √[(4)² + (4)²]
AB = √32
BC = √[(1−3)² + (3−1)²]
BC = √[(−2)² + (2)²]
BC = √8
Area = (√32)(√8) = √256
Area = 16 units²
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