The perimeter of a shape is the sum of its side lengths
The perimeter of the quadrilateral is approximately 25 units
The vertices of the quadrilateral MNOP are given as:
M = (-3,4)
N = (-1,4)
O = (4,-5)
P = (2,-5)
Start by calculating the lengths of the side lengths using the following distance formula
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]MN = \sqrt{(-1 +3)^2 + (4 -4)^2} = 2[/tex]
[tex]NO = \sqrt{(4+1)^2 + (-5 -4)^2} \approx 10.3[/tex]
[tex]OP = \sqrt{(2-4)^2 + (-5 +5)^2} =2[/tex]
[tex]PM = \sqrt{(-3-2)^2 + (4+5)^2} \approx 10.3[/tex]
The perimeter is then calculated as:
[tex]P = 2 + 10.3 + 2 +10.3[/tex]
Add
[tex]P = 24.6[/tex]
Approximate
[tex]P = 25[/tex]
Hence, the perimeter of the quadrilateral is approximately 25 units
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