Rectangle mnpq is similar to rectangle rstu. given the information marked on the diagram, what is the perimeter of rstu?

The perimeter of RSTU can be calculated alone without the help of MNPQ. It would be just 2(4) + 2(3) = 14 units. However, it would be much sensible if you want to find the parameter of the bigger rectangle. Since they are similar, you could use ratio and proportion.

(length/width)∨MNPQ = (length/width)∨RSTU
(x/9) = (3/4)
x = 6.75 units

Thus the perimeter of MNPQ is 2(6.75) + 2(9) = 31.5 units

The first answer is correct