Emily is 12, Samantha is 14, and Lauren is 16. Basically all you do to solve this problem is add numbers that are two apart until you find something.
Ex. 2+4+6=12 4+6+8=18 so on and so forth.
The ratio of the areas:
225 : 36 = 15² : 6²
The ratio of their corresponding sides:
15 : 6 = 5 : 2