First, let's compare the areas using a fraction.
[tex] \dfrac{112}{63} [/tex]
Simplify
[tex] \dfrac{16}{9} [/tex]
Now, to get the ratio of the perimeters, we have to take the square root of this fraction.
[tex] \sqrt{ \dfrac{16}{9} } = \dfrac{4}{3} [/tex]
The last choice is the answer. Hope this helps! :)