Square B is a dilation of square A. What is the scale factor?

This question is incomplete, the missing diagram is uploaded along this answer below.

the scale factor is 5/4

Step-by-step explanation:

Given the data in the image below;

B is a dilation of square A, scale factor = ?

B is a dilation of square A, that is; B is a larger form of square A.

now, to get the scale factor;

The side length of Square B = 35

The side length of Square A = 28

so, the scale factor k will be;

K = 35 / 28

divided both the numerator and denominator by 7

K = 5/4

Therefore, the scale factor is 5/4

place r′ so that qr′ is parallel to the tangent.

now we get that ∠r′py=∠pr′q, where y is on the tangent, on the opposite side of p from x.

also, because of the symmetry, ∠r′py=∠qpx.

finally, note that no matter where we place r, as long as it's on the correct arc, we have ∠prq=∠pr′q.

stringing all these equalities together, we end up with ∠prq=∠qpx.

this picture will show how its going to look like.

hope this by jack monhen