Deck=456
Area of pool= length times width=20 times 50=1000
The Area of the deck is made up of 4 rectangles and 4 squares, the rectangles Areas comes in pair.
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 Two 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 therefore width of walkway =3ft
Hope I helped
