Question 149896
18*13=234 ft^2 for the garden.
234+516=750 is the area for the garden plus the path.
(18+2x)(13+2x)=750
234+36x+26x+4x^2=750
4x^2+62x+234-750=0
4x^2+62x-516=0
2(2x^2+31x-258)=0
2(2x+43)(x-6)=0
x-6=0
x=6 for the width of the path.
proof:
(18+2*6)(13+2*6)+750
(18+12)(13+12)=750
30*25=750
750=750