AD is one-fourth the length of CE.
If you look carefully, you would see that half of the diameter of CE is CD.
Then, line AD is the half of CD. So it is 1 / 4 the length of CE.
The measure off DF is 11.
In a circle inscribed within a triangle, the distance from each vertex of the triangle to the two nearest touchpoints (points of tangency on the circle) are equal. Since SD=4, DT=4 as well. Since UF=7, then FT=7.
DF=DT+TF=4+7=11.
Basically the question is asking if the proportions for the dimensions of the 2 rugs are the same, so in this case yes, since 6 X 8 can be written as 3 X 4 which if you set up a fraction you can easily multiply both the top and bottom number by 3 to get 9 X 12.
1) there isn't a picture
2) you are offering 7 points
3) your points are already wasted i guess