Question

Quadrilateral RJFT is similar to quadrilateral SYPA . JF=60 mm , AP=40 mm , and YP=25 mm . What is TF ?

Answer 1

In similar figures corresponding sides are proportional.
$\frac{JF}{TF} = \frac{YP}{AP}$
Looking at the Name Quad. RJFT ~ Quad. SYPA
Side JF corresponds to Side YP
Side TF corresponds to Side AP

Put in the numbers:
$\frac{60}{s} = \frac{25}{40}$
Cross multiply to solve (used "s" for the unknown side TF:
25s = 60 × 40
25s = 2400
s = 96
TF = 96