Answer:
[tex]15\sqrt3 in[/tex] in
Step-by-step explanation:
We are given that
Length of one side of quadrilateral=[tex]2\sqrt{27}in[/tex]
Length of second side of quadrilateral=[tex]\sqrt{12}in[/tex]
Length of third side of quadrilateral=[tex]3\sqrt3 in[/tex]
Length of fourth side of quadrilateral=[tex]2\sqrt{12} in[/tex]
We have to find the perimeter of the quadrilateral in simplest form.
We know that perimeter of quadrilateral=Sum of length of all sides
Therefore, Perimeter of quadrilateral=[tex]2\sqrt{27}+\sqrt{12}+3\sqrt3+2\sqrt{12}=2\sqrt{27}+3\sqrt{12}+3\sqrt3 in[/tex]
Perimeter of quadrilateral=[tex]6\sqrt3+6\sqrt3+3\sqrt3=15\sqrt3 in[/tex]
