Question 111690
L=w+5 (garden)
L*w=A
w*(w+5)=w^2+5w (area of garden)
(w+4)*(w+5+4)=76+w^2+5w (area of garden plus sidewalk)
(w+4)*(w+9)=76+w^2+5w 
w^2+13w+36=w^2+5w+76
8w=40 subtract w^2+5w+36 from each side.
w=5
L=5+5=10
Check
(5+4)*(10+4)=126
126-50=76
Ed