The perimeter of qudrilateral ABCD, to the nearest tenth is: 14.6 units.
What is the Perimeter of a Quadrilateral?
Perimeter of a quadrilateral = sum of all its four sides.
Given the qudrilateral with the vertices:
- A (3, 5)
- B (1, 3)
- C (3, -1)
- D (5, 3)
Use the distance formula, [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex] to find AB, BC, CD, and AD.
AB = √[(1−3)² + (3−5)²]
AB = √8 = 2.8 units
BC = √[(1−3)² + (3−(−1))²
BC = √20 = 4.5 units
CD = √20 = 4.5 units
AB = √8 = 2.8 units
Perimeter of qudrilateral ABCD = 2.8 + 4.5 + 4.5 + 2.8 = 14.6 units.
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