Answer:
5/2
Step-by-step explanation:
The ratio of the perimeters is the square root of the ratio of areas:
[tex]\dfrac{P_1}{P_2}=\sqrt{\dfrac{A_1}{A_2}}=\sqrt{\dfrac{75\sqrt{2}}{12\sqrt{2}}}=\sqrt{\dfrac{25}{4}}=\dfrac{5}{2}[/tex]
The ratio of perimeters is 5/2.