Question

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

Answer 1

The two quadrilaterals are similar. Which means the ratios of respective sides of two quadrilaterals will be the same. 

So, for the given quadrilaterals, ratio of sides JF and TF of quadrilateral RJFT will be equal to the ratio of sides YP and AP of quadrilateral SYPA. Mathematically, we can write:

$JF:TF = YP:AP \\ \\ \frac{JF}{TF} = \frac{YP}{AP} \\ \\ \frac{60}{TF} = \frac{25}{40} \\ \\ 60* \frac{40}{25}=TF \\ \\ TF=96mm$

So the measure of TF will be 96mm