Perimeter of quadrilateral ABCD = 27.49 units.
How to Find the Perimeter of a Quadrilateral?
Given quadrilateral ABCD has the following vertices:
A(-5, 4)
B(0, 3)
C(4, -1)
D(4, -5)
Perimeter of quadrilateral ABCD = AB + BC + CD + DA
Find each side lengths using the distance formula, d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
AB = √[(0−(−5))² + (3−4)²]
AB = √26 ≈ 5.10 units
BC = √[(0−4)² + (3−(−1))²]
BC = √32 ≈ 5.66 units
CD = √[(4−4)² + (−5−(−1))²]
CD = √16 = 4 units
DA = √[(4−(−5))² + (−5−4)²]
DA = √162 = 12.73 units
Perimeter of quadrilateral ABCD = 5.10 + 5.66 + 4 + 12.73
Perimeter of quadrilateral ABCD = 27.49 units.
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