Answer
Perimeter= $(12\sqrt {3}+13\sqrt {7})$ m
Area= $39\sqrt {21}$ square meters
Work Step by Step
Perimeter= $2\sqrt {27}+2\sqrt {63}+6\sqrt {3}+7\sqrt {7}$
Perimeter= $2\sqrt {9\times3}+2\sqrt {9\times7}+6\sqrt {3}+7\sqrt {7}$
Perimeter= $2(3)\sqrt {3}+2(3)\sqrt {7}+6\sqrt {3}+7\sqrt {7}$
Perimeter= $6\sqrt {3}+6\sqrt {7}+6\sqrt {3}+7\sqrt {7}$
Perimeter= $6\sqrt {3}+6\sqrt {3}+6\sqrt {7}+7\sqrt {7}$
Perimeter= $12\sqrt {3}+13\sqrt {7}$ m
Area= $\frac{1}{2}\times(6\sqrt 3)\times(2\sqrt {63}+7\sqrt {7})$
Area= $3\sqrt 3\times(2\sqrt {63}+7\sqrt {7})$
Area= $3\sqrt 3\times(2\sqrt {9\times7}+7\sqrt {7})$
Area= $3\sqrt 3\times(2(3)\sqrt {7}+7\sqrt {7})$
Area= $3\sqrt 3\times(6\sqrt {7}+7\sqrt {7})$
Area= $3\sqrt 3\times(13\sqrt {7})$
Area= $3\times13\times\sqrt 3\times\sqrt 7$
Area= $39\times\sqrt {3\times7}$
Area= $39\sqrt {21}$ square meters