The perimeter of the polygon is 14 units
The points are given as:
A(3, 4)
B(3, 1)
C(7,1)
D(7, 4)
Calculate the distance between adjacent points using:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]AB = \sqrt{(3 -3)^2 + (4-1)^2} = 3[/tex]
[tex]BC = \sqrt{(3 -7)^2 + (1-1)^2} = 4[/tex]
[tex]CD = \sqrt{(7 -7)^2 + (1-4)^2} = 3[/tex]
[tex]DA = \sqrt{(7 -3)^2 + (4-4)^2} = 4[/tex]
The perimeter is then calculated as:
P = AB + BC + CD + DA
This gives
P = 3 + 4 + 3 + 4
Evaluate
P = 14
Hence, the perimeter of the polygon is 14 units
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