deck=456
area of pool=legnth times width=20 times 50=1000
the area of the deck is made up of 4 rectangles and 4 squares, the rectangles' areas come in pairs
areas are
area of deck= 2(20w)+4(w^2)+2(50w)d
456=2(20w)+4(w^2)+2(50w)
distribute
456=40w+4w^2+100w
add like terms
456=4w^2+140w
divide everybody by 4
114=w^2+35w
subtract 114 from both sides
0=w^2+35w-114
find what 2 numbers multiply to get 114 and add to get 35 and factor
-3 and 38
0=(w-3)(w+38)
set each to zero
w-3=0
w=3
w+38=0
w=-38
false since measures in real life cannot be negative
therfor width of walkway=3ft
