The playing surfaces of two foosball tables are similar. The ratio of the corresponding side lengths is 10:7. What is the ratio of the area

Let's write this proportion of equivalent ratios in equation form and then plug in our two known values to determine our two unknown values:

(s1) 2 : (s2) 2 = A1 : A2

(10) 2 : (7) 2 = 100 : 49

Ratio of the Areas = 100 : 49