Answer
Perimeter= $22\sqrt {5}$ ft
Area= $150$ square feet
Work Step by Step
Perimeter= 2(length + width)
Perimeter= $2(3\sqrt {20}+\sqrt {125})$
Perimeter= $2(3\sqrt {4\times5}+\sqrt {25\times5})$
Perimeter= $2(3(2)\sqrt {5}+5\sqrt {5})$
Perimeter= $2(6\sqrt {5}+5\sqrt {5})$
Perimeter= $2(11\sqrt {5})$
Perimeter= $22\sqrt {5}$ ft
Area= length $\times$ width
Area= $3\sqrt {20} \times \sqrt {125}$
Area= $3\sqrt {4\times5}\times\sqrt {25\times5}$
Area= $3(2)\sqrt {5}\times 5\sqrt {5}$
Area= $6\sqrt {5}\times 5\sqrt {5}$
Area= $6\times5\times\sqrt 5\times\sqrt 5$
Area= $30\times(\sqrt 5\times\sqrt 5)$
Area= $30\times(5)$
Area= $150$ square feet