Question

find the perimeter of a rectangle that has a length of 3root2 + root 3 inches and a width of root 2 + root 3 inches

Answer 1

\[8\sqrt{2}+4\sqrt{3}\] in inches

Answer 2

thanks but can you please show your work? :)

Answer 3

The perimeter of a rectangle is (2xL) + (2xW)
\[3\sqrt{2}+\sqrt{3} = L\] \[\sqrt{2}+\sqrt{3} =W\]
so 2 times L = \[6\sqrt{2}+2\sqrt{3}\]
and 2 times W = \[2\sqrt{2}+2\sqrt{3}\]
add them up = \[8\sqrt{2}+4\sqrt{3}\]
correct me if I am wrong, hope it helps!