The perimeter of quadrilateral ABCD is equal to 29.49 units.
How to calculate the perimeter of a quadrilateral?
Mathematically, the perimeter of a quadrilateral can be calculated by summing up all of its four (4) side lengths:
P = AB + BC + CD + AD
Next, we would determine the distance between each of the points on quadrilateral ABCD by using this equation:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance AB = √[(0 + 5)² + (3 - 4)²]
Distance AB = √[5² + (-1)²]
Distance AB = √26
Distance AB = 5.10 units.
For BC, we have:
Distance BC = √[(4 - 0)² + (-1 - 3)²]
Distance BC = √[4² + (-4)²]
Distance BC = √32
Distance BC = 5.66 units.
For CD, we have:
Distance CD = √[(4 - 4)² + (-5 - 1)²]
Distance CD = √[0² + (-6)²]
Distance CD = √36
Distance CD = 6 units.
For AD, we have:
Distance AD = √[(4 + 5)² + (-5 - 4)²]
Distance AD = √[9² + (-9)²]
Distance AD = √162
Distance AD = 12.73 units.
Substituting the given parameters into the formula, we have;
P = AB + BC + CD + AD
P = 5.10 + 5.66 + 6 + 12.73
P = 29.49 units.
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