Question 152892
let x="width of path"


area of garden is 18*13 or 234 __ area of garden plus path is 234+516 or 750


(18+2x)(13+2x)=750 __ 234+62x+4x^2=750 __ dividing by 2 __ 2x^2+31x+117=375 __ subtracting 375 __ 2x^2+31x-258=0


factoring __ (2x+43)(x-6)=0


2x+43=0 __ x=-43/2 __ negative value not realistic


x-6=0 __ x=6