Question 722490
You have the right idea, seeing that "remaining lawn" helps us think that the walkway does not extend outside of the lawn area, but covers the edges and goes inward.


Look at the dimensions again of the lawn before adding the walkway along the edges.


(32-2w)(24-2w)= area of remaining lawn, not covered by the walkway. That uses w for the width of the walkway.
{{{highlight((32-2w)(24-2w)=425)}}}.  From that, perform you algebra steps to solve the equation for w.