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
