Answer:
perimeter = 25.62 units
Step-by-step explanation:
Let the quadrilateral be ABCD
A = (1, 5), B = (6, 5), C= (1, 11) , D = (6, 11)
To find the perimeter we need to add the lengths of sides AB , BC, CD, and AD.
Lets find the length of all sides using distance formula;
[tex]distance = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
[tex]AB = \sqrt{(1-6)^2+(5-5)^2} = \sqrt{25} = 5units\\\\BC= \sqrt{(6-1)^2+(5-11)^2} = \sqrt{25+36} =\sqrt{61} units\\\\CD=\sqrt{(1-6)^2 + (11-11)^2} = \sqrt{25} = 5units\\\\AD = \sqrt{(1-6)^2+(5-11)^2} = \sqrt{25+36} = \sqrt{61}units[/tex]
Perimeter = AB + BC + CD + AD
[tex]=10 + 2\sqrt{61} units[/tex] = 25.62 units
