The perimeter of a shape is the sum of all visible side lengths of the shape. The perimeter of polygon qrst is 16 units.
Given that:
[tex]q = (-3,2)[/tex]
[tex]r = (1,2)[/tex]
[tex]s = (1,-2)[/tex]
[tex]t = (-3,-2)[/tex]
First, we calculate the distance between the vertices using distance formula:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
So, we have:
[tex]qr = \sqrt{(-3- 1)^2 + (2 - 2)^2} = \sqrt{16} = 4[/tex]
[tex]rs = \sqrt{(1- 1)^2 + (2 - -2)^2} = \sqrt{16} = 4[/tex]
[tex]st = \sqrt{(1--3)^2 + (-2 - -2)^2} = \sqrt{16} = 4[/tex]
[tex]tq = \sqrt{(-3--3)^2 + (-2 -2)^2} = \sqrt{16} = 4[/tex]
The perimeter (P) is the sum of all sides:
[tex]P = qr + rs + st + tq[/tex]
[tex]P = 4 + 4 + 4 + 4[/tex]
[tex]P = 16[/tex]
Hence, the perimeter is 16 units.
Read more about perimeters at:
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