Answer
$15\sqrt 3$ inches
Work Step by Step
Finding the perimeter of the trapezoid involves adding the lengths of all the sides.
Perimeter=$3\sqrt 3+2\sqrt {12}+\sqrt {12}+2\sqrt {27}$
Perimeter=$3\sqrt 3+2\sqrt {4\times3}+\sqrt {4\times3}+2\sqrt {9\times3}$
Perimeter=$3\sqrt 3+2(2)\sqrt {3}+2\sqrt {3}+2(3)\sqrt {3}$
Perimeter=$3\sqrt 3+4\sqrt {3}+2\sqrt {3}+6\sqrt {3}$
Perimeter=$(3+4+2+6)\sqrt 3$
Perimeter=$15\sqrt 3$ inches
