What is the area of a rectangle with vertices at (−3, −1), (1, 3), (3, 1), and (−1, −3)?
1 answer:
Using the distance formula, the area of the rectangle is: 16 units².
<h3>What is the Area of a Rectangle?</h3>Area of a rectangle = (length)(width).
Given the vertices:
- A(−3, −1)
- B(1, 3)
- C(3, 1)
- D(−1, −3)
Area = (AB)(BC)
Apply the distance formula, , 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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