Hi
It gives the area of the smaller rectangle, let's say it is 40
larger rectangle Area = 160
Ratios of the Areas is the ratio of corresponding sides squared.
(8/x)^2 = 160/40 = 4
64/x^2 = 4
16 = x^2
4 = x (Tossing out the negative solution for unit measure)
repeat
(20/y)^2= 4
20^2/y^2 = 4
400/4 = y^2
10 = y