Answer:
in
Explanation:
We are given that
Length of one side of quadrilateral=
![2√(27)in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/p4fvblbukirjdaotg87v2iw9yt5a9iwyec.png)
Length of second side of quadrilateral=
![√(12)in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dw6ye57mqdsyw7hi7q5qz26echapwgvhbe.png)
Length of third side of quadrilateral=
![3\sqrt3 in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dcf7tkhw9c8ih0bzyi7juykj69ittcsn9g.png)
Length of fourth side of quadrilateral=
![2√(12) in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ns785u862gkahllhg6w8zqvio509lx3cdg.png)
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=
![2√(27)+√(12)+3\sqrt3+2√(12)=2√(27)+3√(12)+3\sqrt3 in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/sjegqzay53tn6nsz2wfq1trlj7pkagqhzn.png)
Perimeter of quadrilateral=
![6\sqrt3+6\sqrt3+3\sqrt3=15\sqrt3 in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/shfcb5wop9tg41r1hvqcmu0wdveovxysi8.png)