Utility functions

Question

f(x,y) is a Utility, second degree Homogeneous function

x1 and x2 are on the same line y=x.

the utility on the outside is doubled from the inside.

https://ibb.co/4g40388

prove:

1) x2/x1 = (2)^(1/2)

2)fx(x2,x2)/fx(x1,x1) = (2)^(1/2)

Answer 1

o to x1=1.5

o to x2=2

o to y3=1.25

o to inner arc=1.6

x2/x1=2/1.5=2^.5

=4/3 =1.4142........??????????

I measured the horiz and vert.